Practice: A flare gun launches signal flares with an initial speed of 110 m/s. How far does the flare travel if it is shot at ground level at an angle 65° above the horizontal?

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Sections | |||
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Intro to Projectile Motion: Horizontal Launch | 36 mins | 0 completed | Learn |

Negative (Downward) Launch | 25 mins | 0 completed | Learn |

Symmetrical Launch | 25 mins | 0 completed | Learn |

Projectiles Launched From Moving Vehicles | 14 mins | 0 completed | Learn |

Special Equations in Symmetrical Launches | 17 mins | 0 completed | Learn |

Positive (Upward) Launch | 42 mins | 0 completed | Learn |

Using Equation Substitution | 18 mins | 0 completed | Learn |

Concept #1: Solving Symmetric Launch Problems

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Practice: A flare gun launches signal flares with an initial speed of 110 m/s. How far does the flare travel if it is shot at ground level at an angle 65° above the horizontal?

Example #1: In a game of catch on a faraway planet, a ball is thrown with an initial speed of 10 m/s at 37° above the horizontal. It travels a horizontal distance of 32 m. What is the gravitational acceleration on the planet?

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Concept #1: Solving Symmetric Launch Problems

Practice #1: Range of a Flare Gun

Example #1: Gravity on Planet X

Two children are playing catch. One throws a ball with an initial velocity of 3 m/s at an angle of 40 degrees with respect to the horizontal. What is the speed of the ball when it reaches its maximum height above the ground?
A) 2.3 m/s
B) 1.9 m/s
C) 0 m/s
D) 3 m/s

A ball is thrown and follows the parabolic path shown. Air friction is negligible. Point Q is the highest point on the path. Points P and R are the same height above the ground. Which of the following diagrams best indicates the direction of the acceleration, if any, on the ball at point P?

Given: The battleship and enemy ships A and B lie along a straight line. Neglect air friction. A battleship simultaneously fires two shells (with the same muzzle velocity) at these two enemy ships. If the shells follow the parabolic trajectories shown in the figure, which ship gets hit first?
1. need more information
2. B
3. A
4. both at the same time

A projectile is launched through the air at 20 m/s with a launch angle of 65 o. At what height will the projectile have lost 50% of its speed?

An NFL quarterback will often throw lobs at 20 m/s with a launch angle of 50o. If a wide receiver runs away from the quarterback at a speed of 7 m/s, how long should the quarterback hold onto the football before throwing it, so the receiver can catch it without slowing down? Assume that the throw and the catch occur at the same height.

A projectile is fired from the ground at 50 m/s with a launch angle of 30o. What will the height of the projectile be after 1 s?

A projectile returns to its original height after 6.08 seconds, during which time it travels 76.2 meters horizontally. If air resistance can be neglected, what was the magnitude and direction of the projectile's initial velocity? (Use g = 9.80 m/s2)

Given: The battleship and enemy ships 1 and 2 lie along a straight line. Neglect air friction. Consider the motion of the two projectiles fired at t = 0. Their initial speeds are different and they reach different maximum heights h1 and h2. What is the ratio of the time of flight, t 1 and t2 respectively, that the shells reach?1. t1 / t2 = 2 (√ h1 / h2)2. t1 / t2 = 1/ √2 (√ h1 / h2)3. t1 / t2 = 2 (√ h2 / h1)4. t1 / t2 = 1/2 (√ h1 / h2)5. t1 / t2 = (√ h1 / h2)6. t1 / t2 = 1/2 (√ h2 / h1)7. t1 / t2 = h2 / h18. t1 / t2 = √2 (√ h1 / h2)9. t1 / t2 = (√ h2 / h1)10. t1 / t2 = (h1 / h2)

An object is launched from the ground with an unknown initial speed directed at 30° above the horizontal. If it reaches a maximum height of 40 m before returning to the ground, find its initial speed.

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 tiny critters have reached a maximum height of 58.7 cm above the level ground.(a) What was the takeoff speed for such a leap?(b) What horizontal distance did the froghopper cover for this world-record leap?

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