The average acceleration is defined as (Choose the correct answer) O a. The displacement divided by the time interval O b. The change in velocity divided by the time interval OC. The change of displacement divided by the time interval O d. The initial velocity divided by the time interval

The average acceleration is defined as (Choose the correct answer) O a. The displacement divided by the time interval O b. The change in velocity divided by the time interval OC. The change of displacement divided by the time interval O d. The initial velocity divided by the time interval

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Description: A Moving to another question will save this response.Question 1The average acceleration is defined as (Choose the correct answer)O a. The displacement divided by the time intervalO b. The change in velocity divided by the time intervalO c. The chang

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter4: Forces In One Dimension

Section: Chapter Questions

Problem 97A

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An object that moves in one dimension has the velocity-versus-time graph shown in Figure P2.52. At time t = 0, the object has position x = 0. a. At time t = 5 s. is the acceleration of the object positive, negative, or zero? Explain. b. At time t = 8 s, is the object speeding up, showing down, or moving with constant speed? Explain. c. Write an expression for the position of the object as a function of time. Explain how you use the graph to obtain your answer. d. Use your expression from part (c) to determine the time (if any) at which the object reaches its maximum position. Check your results by examining the graph. Hint: To get started with finding the maximum of a function, take the derivative and set it equal to zero.
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
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?
Freight trains can product only relatively small accelerations. (a) What is the final velocity of a freight train that accelerates at a rate of 0.0500m/s2 for 8.00 min, starting with an intial velocity of 4.00 m/s? (b) If the train can slow down at a rate of 0.550m/s2 , how long will it take to come to a stop from this velocity? (c) How far will it travel in each case?
A woodchuck runs 20 m to the right in 5 s, then rums and runs 10 m to the left in 3 s. (a) What is the average velocity of the woodchuck? (b) What is its average speed?
A motorist drives for 35.0 minutes at 85.0 km/h and then stops for 15.0 minutes. He then continues north, traveling 130. Km in 2.00 h. (a) What is his total displacement? (b) What is his average velocity?
A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.35m/s2 , how far will it travel before becoming airborne? (b) How long does this take?
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
A fireworks shell is accelerated from rest to a velocity of 65.0 m/s over a distance of 0.250 m. (a) Calculate the acceleration. (b) How long did theacceleration last?
A speedboat travels in a straight line and increases in speed uniformly from i = 20.0 m/s to f = 30.0 m/s in displacement x of 200 m. We wish to find the time interval required for the boat to move through this displacement, (a) Draw a coordinate system for this situation, (b) What analysis model is most appropriate for describing this situation? (c) From the analysis model, what equation is most appropriate for finding the acceleration of the speedboat? (d) Solve the equation selected in part (c) symbolically for the boats acceleration in terms of i, f, and x. (e) Substitute numerical values lo obtain the acceleration numerically. (f) Find the time interval mentioned above.
A commuter backs her car out of her garage with an acceleration of 1.40m/s2 . (a) How long does it take her to reach a speed of 2.00m/s2 ? (b) If she then brakes to a stop in 0.800 s, what is her acceleration?
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.