2. 1D Motion / Kinematics

Position-Time Graphs & Velocity

Multiple Choice
The position-time graph for a moving box is shown below.
(a) What is the box's average velocity from 0 to 5s?
(b) What is the box's average velocity from 0 to 8s?
(c) What is the box's velocity in the interval where it's moving fastest?
Multiple Choice
The position-time graph for a ball on a track is shown below.
(a) What is the ball's velocity at 4s?
(b) At what time(s) is the ball approximately travelling at -10m/s?
(c) From t = 3 to 7s, what is the sign of the acceleration?
Multiple Choice
Which motion diagram best represents the following event: a skier skis down a slope with constant speed?
Open Question
A cat walks in a straight line, which we shall call the x-axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (Fig. E2.30). (d) Assuming that the cat started at the origin, sketch clear graphs of the cat's acceleration and position as functions of time.
Open Question
A cat walks in a straight line, which we shall call the x-axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (Fig. E2.30). (a) Find the cat's velocity at t = 4.0 s and at t = 7.0 s.
Open Question
A physics professor leaves her house and walks along the sidewalk toward campus. After 5 min it starts to rain, and she returns home. Her distance from her house as a function of time is shown in Fig. E2.10. At which of the labeled points is her velocity (e) decreasing in magnitude?
Open Question
A physics professor leaves her house and walks along the sidewalk toward campus. After 5 min it starts to rain, and she returns home. Her distance from her house as a function of time is shown in Fig. E2.10. At which of the labeled points is her velocity (c) constant and negative?
Open Question
A physics professor leaves her house and walks along the sidewalk toward campus. After 5 min it starts to rain, and she returns home. Her distance from her house as a function of time is shown in Fig. E2.10. At which of the labeled points is her velocity (b) constant and positive?
Open Question
A physics professor leaves her house and walks along the sidewalk toward campus. After 5 min it starts to rain, and she returns home. Her distance from her house as a function of time is shown in Fig. E2.10. At which of the labeled points is her velocity (a) zero?
Open Question
A block is suspended from a spring, pulled down, and released. The block's position-versus-time graph is shown in FIGURE P2.38.b. Draw a reasonable velocity-versus-time graph.
Open Question
(II) The position of an object along a straight tunnel as a function of time is plotted in Fig. 2–40. What is its average velocity
(c) between t = 0 and t = 5.0 s
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Open Question
(II) The position of an object along a straight tunnel as a function of time is plotted in Fig. 2–40. What is its instantaneous velocity
(a) at t = 10.0 s and
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Open Question
(II) The position of an object along a straight tunnel as a function of time is plotted in Fig. 2–40. What is its average velocity
(c) between t = 0 and t = 5.0 s
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Open Question
(II) In Fig. 2–40, (a) during what time intervals, if any, is the velocity constant?
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Open Question
(II) In Fig. 2–40, (b) At what time is the velocity greatest?
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