4. The velocity vs. time graph of a particle is shown in the figure below. 2 t(s) 0 1 2 3 4 5 6 a) During what time interval is the particle traveling with constant acceleration? 2 secs. b) Calculate graphically the displacement of the particle during the first 3s. c) Estimate the particle's acceleration at t = 5s. V (m/s) 3.

4. The velocity vs. time graph of a particle is shown in the figure below. 2 t(s) 0 1 2 3 4 5 6 a) During what time interval is the particle traveling with constant acceleration? 2 secs. b) Calculate graphically the displacement of the particle during the first 3s. c) Estimate the particle's acceleration at t = 5s. V (m/s) 3.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter3: Accelerated Motion

Section: Chapter Questions

Problem 60A

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There is a 25O-m-high cliff at Half Dome in Yosemite National Pad in California. Suppose a boulder breaks loose from the top of this cliff. (a) How fast will It be going when It strikes the ground? (b) Assuming a reaction time of 0.300 s, how long a time will a tourist at the bottom have to get out of the way after hearing the sound of the rock breaking loose (neglecting the height of the tourist, which would become negligible anyway if hit)? The speed of sound is 335.0 m/s on this day.
A prison walks first al a constant speed of 5.00 m/s along a straight line from point to point and then back along the line from to at a constant speed of 3.00 m/s. (a) What is her average speed over the entire trip? (b) What is her average velocity over the entire trip?
(a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in Figure 2.57. (b) Identify the time or titles (ta, tb, tc, etc.) at which the acceleration is greatest, (c) At which times is it zero? (d) At which times is it negative?
Standing at the base of one of the cliffs of Mt. Arapiles in Victoria, Australia, a hiker hears a rock break loose from a height of 105 m. He can't see the rock right away but then does, 1.50 s later. (a) How far above the hiker is the rock when he can see it? (b) How much time does he have to move before the rock hits his head?
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A dancer moves in one dimension back and forth across the stage. If the end of the stage nearest to her is considered to be the origin of an x axis that runs parallel to the stage, her position, as a function of time, is given by x(t)=[(0.02m/s3)t3(0.35m/s2)t2+(1.75m/s)t2.00m]i a. Find an expression for the dancers velocity as a function of time. b. Graph the velocity as a function of time for the 14 s over which the dancer performs (the dancer begins when t = 0) and use the graph to determine when the dancers velocity is equal to 0 m/s.
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A student drives a moped along a straight road as described by the velocitytime graph in Figure P2.32. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (b) Sketch a graph of the acceleration versus time directly below the velocitytime graph, again aligning the time coordinates. On each graph, show the numerical values of x and ax for all points of inflection. (c) What is the acceleration at t = 6.00 s? (d) Find the position (relative to the starting point) at t = 6.00 s. (e) What is the mopeds final position at t = 9.00 s? Figure P2.32
An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150m/s2 as it goes through. The station in 210.0 m long. (a) How fast is it going when the nose leaves the station? (b) How long is the nose of the train in the station? (c) If the train is 130 m long, what is the velocity of the end of the train as it leaves? (d) When does the end of the train leave the station?
A student drives a moped along a straight road as described by the velocity-versus-time graph in Figure P2.12. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (b) Sketch a graph of the acceleration versus time directly below the velocity-versus-time graph, again aligning the time coordinates. On each graph, show the numerical values of x and ax for all points of inflection. (c) What is the acceleration at t = 6.00 s? (d) Find the position (relative to the starting point) at t = 6.00 s. (e) What is the mopeds final position at t = 9.00 s? Figure P2.12