Subjects

Sections | |||
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Vectors, Scalars, & Displacement | 14 mins | 0 completed | Learn |

Average Velocity | 33 mins | 0 completed | Learn |

Intro to Acceleration | 8 mins | 0 completed | Learn |

Position-Time Graphs & Velocity | 26 mins | 0 completed | Learn |

Conceptual Problems with Position-Time Graphs | 22 mins | 0 completed | Learn |

Velocity-Time Graphs & Acceleration | 6 mins | 0 completed | Learn |

Calculating Displacement from Velocity-Time Graphs | 15 mins | 0 completed | Learn |

Conceptual Problems with Velocity-Time Graphs | 11 mins | 0 completed | Learn |

Calculating Change in Velocity from Acceleration-Time Graphs | 11 mins | 0 completed | Learn |

Graphing Position, Velocity, and Acceleration Graphs | 11 mins | 0 completed | Learn |

Kinematics Equations | 53 mins | 0 completed | Learn |

Vertical Motion and Free Fall | 20 mins | 0 completed | Learn |

Catch/Overtake Problems | 23 mins | 0 completed | Learn |

Additional Practice |
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Motion Diagrams |

Proportional Reasoning |

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Concept #1: Velocity-Time Graphs & Acceleration

Figure 2.2 shows the velocity time graph of a motorist during a 8 second period. The motorist leaves home (position x = 0m) at time t = 0s and the velocity change as shown. What is the acceleration at 3.0 s?

Figure 2.2 shows the velocity time graph of a motorist during a 8 second period. The motorist leaves home (position x = 0m) at time t = 0s and the velocity change as shown. What is the acceleration at 5.0 s?

Figure 2.2 shows the velocity time graph of a motorist during a 8 second period. The motorist leaves home (position x = 0m) at time t = 0s and the velocity change as shown. Sketch the acceleration/time AND the position/time graphs of the entire trip.

In the graph shown below, velocity is plotted as a function of time for an object traveling in a straight line.
A) The object moves backward from 2 to 4 seconds.
B) The object is at rest from 0 to 1 seconds.
C) From 1 to 2 seconds the acceleration is largest.
D) The object returns to where it started after 4 seconds.

A block with an initial velocity v 0 slides up and back down a frictionless incline. Which graph best represents a description of the velocity of the block versus time? The initial position of the block is the origin; i.e., x = 0 at t = 0 . Consider up the track to be the positive x-direction.

FIGURE EX2.12 shows the velocity-versus-time graph for a particle moving along the x-axis. Its initial position is x0 = 2.0 m at t 0 = 0 s.(a) What are the particle’s position, velocity, and acceleration at t = 1.0 s?(b) What are the particle’s position, velocity, and acceleration at t = 3.0 s?

A jogger starts from the origin and jogs in a straight line with the velocity profile shown below.
[a] What is the maximum acceleration of the jogger?
[b] At what time does the jogger return to the origin?
[c] What is the total displacement of the jogger over the time shown?

A ball moves in a straight line (the x-axis). The graph in the figure below shows this ball's velocity as a function of time. (a) What is the ball's average velocity during the first 2.8 s?(b) What is the ball's average speed during the first 2.8 s?(c) Suppose that the ball moved in such a way that the graph segment after 2.0 s was -3.0 m/s instead of +3.0 m/s. Find the ball's average velocity during the first 2.8 s in this case.(d) Find the ball's average speed during the first 2.8 s in the case described in part C.

(a) Which graphs represent an object moving in the negative direction?(b) Which graphs represent an object that is speeding up?(c) Which graphs represent an object that has a negative acceleration?

The following three questions are related to the four velocity versus time graphs (1-4) given in the figure. The answer to each question is two of the four graphs. a) Which graphs represent an object moving in the positive direction?b) Which graphs represent an object that is speeding up?c)Which graphs represent an object that has a positive acceleration?

A. Find the maximum velocity Vmax of the car during the ten-second interval depicted in the graph. B. Find the maximum acceleration a max of the carC. Find the minimum magnitude of the acceleration amin of the car

A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component in the direction of motion. Thus, in this problem, we will call v the velocity and a the acceleration, even though they are really the components of the velocity and acceleration vectors in the direction of motion, respectively.Part AWhat is the initial velocity of the particle, v0? Express your answer in meters per second.Part BWhat is the total distance x traveled by the particle? Express your answer in meters.Part CWhat is the average acceleration aav of the particle over the first 20.0 seconds? Express your answer in meters per second per second.Part DWhat is the instantaneous acceleration a of the particle at t=45.0s?Now that you have reviewed how to plot variables as a function of time, you can use the same technique and draw an acceleration vs time graph, that is, the graph of (instantaneous) acceleration as a function of time. As usual in these types of graphs, time t is plotted on the horizontal axis, while the vertical axis is used to indicate acceleration a.Part EWhich of the graphs shown below is the correct acceleration vs. time plot for the motion described in the previous parts?

What is the correct acceleration vs. time graph for the velocity vs. time graph shown in Figure 8?

The graph in the figure (Figure 1) shows the velocity v of a sports car as a function of time t (a) Find the maximum acceleration amax of the car. Express your answer in meters per second per second to the nearest integer.(b) Find the minimum magnitude of the acceleration amin of the car

The graph in the figure shows the velocity v of a sports car as a function of time t. Find the maximum acceleration amax of the car.

(a) Determine the magnitude of the acceleration for the speeding up phase.(b) Determine the magnitude of the acceleration for the slowing down phase.Express your answers to two significant figures and include the appropriate units.

The graph in the figure (Figure 1) shows the velocity v of a sports car as a function of time t Find the distance d0,2 travelled by the car between t = 0 s and t = 2 s.

Which graphs represent an object that has a negative acceleration? A. 1 and 4 B. 1 and 3 C. 2 and 3 D. 1 and 2 E. 2 and 4 F. 3 and 4

Find the minimum magnitude of the acceleration of the car.Express your answer in meters per second per second to the nearest integer.

Consider the velocity vs. time graph of a person in an elevator shown in Figure 2.58. Suppose the elevator is initially at rest. It then accelerates for 3 seconds, maintains that velocity for 15 seconds, then decelerates for 5 seconds until it stops. The acceleration for the entire trip is not constant so we cannot use the equations of motion from Motion Equations for Constant Acceleration in One Dimension for the complete trip. (We could, however, use them in the three individual sections where acceleration is a constant.) Sketch graphs of (a) position vs. time and (b) acceleration vs. time for this trip.

The figure shows the velocity of a train as a function of time.(a) At what time was its velocity greatest?(b) During what periods, if any, was the velocity constant?(c) During what periods, if any, was the acceleration constant?(d) When was the magnitude of the acceleration greatest?

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