Physics Physics Practice Problems Solutions Library

Projectile Motion: Positive Launch Solutions Library

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Projectile Motion: Positive Launch

Q. A golfer tees off from the top of a rise, giving the golf ball an initial velocity of 43.0 m/s at an angle of 30.0° above the horizontal. The ball ...

Solved • Nov 6, 2019

Projectile Motion: Positive Launch

Q. In the figure, a stone is projected at a cliff of height  h with an initial speed of 42.0 m/s directed at angle θ0 = 60.0° above the horizontal. Th...

Solved • Nov 6, 2019

Projectile Motion: Positive Launch

Q. A child runs down a 12° hill and then suddenly jumps upward at a 15° angle above horizontal and lands 1.4 m down the hill as measured along the hil...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A basketball is shot from an initial height of 2.4 m with an initial speed v0 =12 m/s directed at an angle 0 = 35 above the horizontal.How far fr...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A batter hits a fly ball which leaves the bat 0.95 m above the ground at an angle of 61° with an initial speed of 30 m/s heading toward centerfield...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. Romeo is chucking pebbles gently up to Juliets window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. Apollo astronauts took a "nine iron" to the Moon and hit a golf ball about 180  m. Assuming that the swing, launch angle, and so on, were the same ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A hunter aims directly at a target (on the same level) 73.0 m away.If the bullet leaves the gun at a speed of 180 m/s , by how much will it miss t...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. When Babe Ruth hit a homer over the 8.5 m -high right-field fence 98 m from home plate, roughly what was the minimum speed of the ball when it lef...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A projectile is fired with an initial speed of 46.6 m/s at an angle of 42.2° above the horizontal on a long flat firing range. Determine:(a) the ma...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. An athlete executing a long jump leaves the ground at a 28.0 o angle and lands 7.70 m away.What was the takeoff speed?If this speed were increase...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A long jumper leaves the ground at 45 above the horizontal and lands 9.1 v0 away. What is her "takeoff" speed v_0?Will she land on the opposite b...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A high diver leaves the end of a 5.5 m high diving board and strikes the water 1.4 s later, 3.0 m beyond the end of the board. Considering the dive...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of 65.0 m/s at an angle of 35.0° with the horizontal, ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A stunt driver wants to make his car jump over 8 cars parked side by side below a horizontal ramp (Fig. 3-46).(a) With what minimum speed must he d...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. Estimate how much farther a person can jump on the Moon as compared to the Earth if the takeoff speed and angle are the same. The acceleration due ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A fire hose held near the ground shoots water at a speed of 6.5 m/s .At what angle(s) should the nozzle point in order that the water land 2.5 m ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A football is kicked at ground level with a speed of 18.0 m/s at an angle of 36.0 to the horizontal.How much later does it hit the ground?

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A shot-putter throws the shot ( mass = 7.3 kg) with an initial speed of 15.0 m/s at a 35.0 angle to the horizontal.Calculate the horizontal dist...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A baseball is hit with a speed of 29.0 m/s at an angle of 46.0 . It lands on the flat roof of a 13.0 m -tall nearby building.If the ball was hit ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A grasshopper hops down a level road. On each hop, the grasshopper launches itself at angle exttip{ heta_{0}}{theta_0} = 50 and achieves a range...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. Two cannonballs, A and B, are fired from the ground with identical initial speeds, but with A larger than B, and | 45 - B | > | 45 - A |.W...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A projectile is launched at an upward angle of 30 to the horizontal with a speed of 30 { m m/s}.How does the horizontal component of its velocity...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A major leaguer hits a baseball so that it leaves the bat at a speed of 30.6 m/s and at an angle of 36.3 above the horizontal. You can ign...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. In a carnival booth, you win a stuffed giraffe if you toss a quarter into a small dish. The dish is on a shelf above the point where the quarter le...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A test rocket starting from rest at point A is launched by accelerating it along a 200.0-m incline at 1.80 m/s2 . The incline ris...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. In Canadian football, after a touchdown the team has the opportunity to earn one more point by kicking the ball over the bar between the goal posts...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. On level ground a shell is fired with an initial velocity of 41.0 m/s at 61.0 above the horizontal and feels no appreciable air re...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. Romeo tosses a pebble at Juliets window to wake her. Unfortunately, he throws too large a pebble too fast. Just before crashing through the glass, ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A pistol that fires a signal flare gives the flare an initial speed (muzzle speed) of 126 m/s.(a) If the flare is fired at an angle of 55.0° above ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. In a Fourth of July celebration, a firecracker is launched from ground level with an initial velocity of 25.1 m/s at 30.1 from the vertical. At i...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. In the long jump, an athlete launches herself at an angle above the ground and lands at the same height, trying to travel the greatest horizontal d...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A demolition crew uses dynamite to blow an old building apart. Debris from the explosion flies off in all directions, and is later found at distanc...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. In the middle of the night you are standing a horizontal distance of 14.0 m from the high fence that surrounds the estate of your rich uncle. Th...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A firefighting crew uses a water cannon that shoots water at 28.0 m/s at a fixed angle of 50.0 above the horizontal. The firefighters want to dir...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A baseball thrown at an angle of 60.0° above the horizontal strikes a building 18.0 m away at a point 8.00 m above the point from which it is throw...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A grasshopper leaps into the air from the edge of a vertical cliff, as shown in the figure below.Use information from the figure to find the initia...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A physics professor did daredevil stunts in his spare time. His last stunt was an attempt to jump across a river on a motorcycle. The takeoff ramp ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A 2.7-kg ball is thrown upward with an initial speed of 20.0 m/s from the edge of a 45.0-m-high cliff. At the instant the ball is thrown, a woman s...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A cannon, located 60.0 m from the base of a vertical 25.0-m-tall cliff, shoots a 15-kg shell at 43.0 above the horizontal toward the cliff.What mus...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. As a ship is approaching the dock at 45.0 cm/s, an important piece of landing equipment needs to be thrown to it before it can dock. This equipmen...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. According to the Guinness Book of World Records, the longest home run ever measured was hit by Roy “Dizzy” Carlyle in a minor league game. The ball...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A man stands on the roof of a building of height 15.1 m and throws a rock with a velocity of magnitude 30.1 m/s at an angle of 30.1 above the ho...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. Firemen are shooting a stream of water at a burning building using a high-pressure hose that shoots out the water with a speed of 25.0 m/s as it le...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A rookie quarterback throws a football with an initial upward velocity component of 16.1 m/s and a horizontal velocity component of 20.1 m/s . Ign...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. The froghopper, Philaenus spumarius, holds the world record for insect jumps. When leaping at an angle of 58.0° above the horizontal, some of the t...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A shot putter releases the shot some distance above the level ground with a velocity of 12.0 m/s, 51.0 above the horizontal. The shot hits the grou...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. According to the Guinness Book of World Records, the longest home run ever measured was hit by Roy “Dizzy” Carlyle in a minor league game. The ball...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A skateboarder starts up a 1.0-m-high, 30° ramp at a speed of 7.1 m/s. The skateboard wheels roll without friction. At the top, she leaves the ramp...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. For a projectile, which of the following quantities are constant during the flight?Which of these quantities are zero throughout the flight?

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. In the Olympic shotput event, an athlete throws the shot with an initial speed of 13.0 m/s at a 44.0 angle from the horizontal. Th...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. An archer standing on a 15° slope shoots an arrow 20°^circ above the horizontal, as shown in the figure. How far down the slope does the arrow hit ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A rubber ball is dropped onto a ramp that is tilted at 20 , as shown in the figure . A bouncing ball obeys the "law of reflection," which says t...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a 6 iron. The acceleration due to gravity on the moon is 1/6 of i...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A ball is thrown toward a cliff of height h with a speed of 31 m/s and an angle of 60 above horizontal. It lands on the edge of the cliff 3.6 (Pa...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A stunt man drives a car at a speed of 20 m/s off a 28-m-high cliff. The road leading to the cliff is inclined upward at an angle of 20.How far fro...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A javelin thrower standing at rest holds the center of the javelin behind her head, then accelerates it through a distance of 70 cm as she throws. ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A gray kangaroo can bound across level ground with each jump carrying it 9.1 m from the takeoff point. Typically the kangaroo leaves the ground at...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A tennis player hits a ball 2.0 m above the ground. The ball leaves his racquet with a speed of 21.0 m/s at an angle 5.1 above the horizontal. Th...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. You're 6.0 m from one wall of a house. You want to toss a ball to your friend who is 6.0 m from the opposite wall. The throw and catch each occur 1...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A physics student on Planet Exidor throws a ball, and it follows the parabolic trajectory shown in the figure . The balls position is shown at 1s i...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. You are target shooting using a toy gun that fires a small ball at a speed of 15 m/s. When the gun is fired at an angle of 30° above horizontal, th...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A projectile is launched from ground level at angle 0 and speed a into a headwind that causes a constant horizontal acceleration of magnitude a opp...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A 35 g steel ball is held by a ceiling-mounted electromagnet 3.6 m above the floor. A compressed-air cannon sits on the floor, 4.6 m...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. The record distance in the sport of throwing cowpats is 81.1 m. This record toss was set by Steve Urner of the United States in 1981. Assuming the ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A boy stands on a diving board and tosses a stone into a swimming pool. The stone is thrown from a height of 2.50 m above the water surface with a ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A home run is hit in such a way that the baseball just clears a wall 21.0 m high, located 130 m from home plate. The ball is hit at an angle of 35....

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A firefighter a distance d from a burning building directs a stream of water from a fire hose at angle ui above the horizontal as shown in Figure P...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar which ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A basketball star covers 2.80 m horizontally in a jump to dunk the ball (Fig. P4.24a). His motion through space can be modeled precisely as that of...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A playground is on the flat roof of a city school 6.00 m above the street below (Fig. P4.25). The vertical wall of the building is h 5 7.00 m high ...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A projectile is fired from the top of a cliff of height h above the ocean below. The projectile is fired at an angle u above the horizontal and wit...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. Mayan kings and many school sports teams are named for the puma cougar or mountain lionΓÇöFelis concolorΓÇö the best jumper among animals. It can j...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 15.0 m if her initial speed is 3.00 m/s. What is the free...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A projectile is fired in such a way that its horizontal range is equal to three times its maximum height. What is the angle of projection?

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. To start an avalanche on a mountain slope an artillery shell is fired with an initial velocity of 300 m/s at 55.0° above the horizontal. It explode...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A rock is thrown upward from level ground in such a way that the maximum height of its flight is equal to its horizontal range R. (a) At what angle...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. The speed of a projectile when it reaches its maximum height is one-half its speed when it is at half its maximum height. What is the initial proje...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. An astronaut hits a golf ball on the Moon. Which of the following quantities if any remain constant as a ball travels through the vacuum there? (a)...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A projectile is launched on the Earth with a certain initial velocity and moves without air resistance. Another projectile is launched with the sam...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A baseball is thrown from the outfield toward the catcher. When the ball reaches its highest point which statement is true? (a) Its velocity and it...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. In which of the following situations is the moving object appropriately modeled as a projectile? Choose all correct answers. (a) A shoe is tossed i...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A catapult launches a rocket at an angle of 53.0° above the horizontal with an initial speed of 100 m/s. The rocket engine immediately starts a bur...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. A basketball player is standing on the floor 10.0 m from the basket as in Figure P4.60. The height of the basket is 3.05 m and he shoots the ball a...

Solved • Oct 29, 2018

Projectile Motion: Positive Launch

Q. An Olympic long jumper is capable of jumping 8.0 m. Assuming his horizontal speed is 9.1 m/s as he leaves the ground, how long is he in the air and...

Solved • Oct 3, 2018

Projectile Motion: Positive Launch

Q. A home run is hit in such a way that the baseball just clears a wall 21.0 m high, located 130 m from home plate. The ball is hit at an angle of 35....

Solved • Oct 3, 2018

Projectile Motion: Positive Launch

Q. You’re trying to design a simple catapult, which is capable of firing a projectile at 50 m/s at a launch angle of 45o. If the height of the project...

Solved • Jan 6, 2017

Projectile Motion: Positive Launch

Q. A kid on his bycicle can reach a speed of 15 m/s. If he was able to launch off a 2 m tall ramp at an angle of 45o, how far away from the edge of th...

Solved • Jan 5, 2017