College Physics, Volume 1
2nd Edition
ISBN: 9781133710271
Author: Giordano
Publisher: Cengage
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Chapter 2, Problem 11Q
To determine
The possibility that the velocity is positive but the displacement to be zero.
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A car, moving to the left in a straight line in the negative x-direction, travels a distance d = 32 m during time interval Δt = 18 s. In this case, must there be an instant at which the speed of the car is equal to its average speed? Explain answer.
Why is a time interval always positive?
If the average acceleration of a car is zero in a given time interval, what can you tell about the displacement of the car for that interval?
Given graph,
whats is the average acceleration at interval 0s to 0.5s, 0.5s to 1.0s and 1.0s to 2.0s? What can you say about their magnitude and direction?
Chapter 2 Solutions
College Physics, Volume 1
Ch. 2.1 - Prob. 2.1CCCh. 2.2 - Prob. 2.2CCCh. 2.2 - For which of the positiontime graphs in Figure...Ch. 2.2 - Figure 2.22A shows the positiontime graph for an...Ch. 2.4 - Prob. 2.6CCCh. 2 - Prob. 1QCh. 2 - Prob. 2QCh. 2 - Prob. 3QCh. 2 - Prob. 4QCh. 2 - Prob. 5Q
Ch. 2 - Prob. 6QCh. 2 - Prob. 7QCh. 2 - Prob. 8QCh. 2 - Prob. 9QCh. 2 - Prob. 10QCh. 2 - Prob. 11QCh. 2 - Prob. 12QCh. 2 - Prob. 13QCh. 2 - Prob. 14QCh. 2 - Prob. 15QCh. 2 - Prob. 16QCh. 2 - Prob. 17QCh. 2 - Prob. 18QCh. 2 - Prob. 19QCh. 2 - Three blocks rest on a table as shown in Figure...Ch. 2 - Two football players start running at opposite...Ch. 2 - Prob. 22QCh. 2 - In SI units, velocity is measured in units of...Ch. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Consider a marble falling through a very thick...Ch. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Figure P2.13 shows three motion diagrams, where...Ch. 2 - Prob. 14PCh. 2 - Figure P2.15 shows several hypothetical...Ch. 2 - Prob. 16PCh. 2 - Figure P2.17 shows several hypothetical...Ch. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - For the object described by Figure P2.24, estimate...Ch. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Prob. 31PCh. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - Prob. 41PCh. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - Prob. 50PCh. 2 - Prob. 51PCh. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - Prob. 55PCh. 2 - Prob. 56PCh. 2 - Prob. 57PCh. 2 - Prob. 58PCh. 2 - Prob. 59PCh. 2 - Prob. 60P
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- PROBLEM A race car starting from rest accelerates at a constant rate of 5.00 m/s2, (a) What is the velocity of the car after it has traveled 1.00 102 ft? (b) How much time has elapsed? (c) Calculate the average velocity two different ways. STRATEGY Weve read the problem, drawn the diagram in Figure 2.16, and chosen a coordinate system (steps 1 and 2). We'd like to find the velocity v after a certain known displacement x. The acceleration a is also known, as is the initial velocity v0 (step 3, labeling, is complete), so the third equation in Table 2.4 looks most useful for solving part (a). Given the velocity, the first equation in Table 2.4 can then be used to find the time in part (b). Part (c) requires substitution into Equations 2.2 and 2.7, respectively. Figure 2.16 (Example 2.4) SOLUTION (a) Convert units of x to SI, using the information in the inside front cover. Write the kinematics equation for v2 (step 4): Solve for v, taking the positive square root because the car moves to the right (step 5): Substitute v0 = 0, a = 5.00 m/s2, and x = 30.5 m: 1.00 102ft = (1.00 102 ft) v2 = v02 + 2a x v = v02+2ax v = v02+2ax = (0)2+2(5.00m/s2)(30.5m)= 17.5 m/s (b) Find the trooper's speed at that time. Substitute the time into the troopers velocity equation: vtrooper = v0 + atrooper t = 0 + (3.00m/s2)(16.9s) = 50.7 m/s Solve Example 2.5, Car Chase, by a graphical method. On the same graph, plot position versus time for the car and the trooper. From the intersection of the two curves, read the time at which the trooper overtakes the car.arrow_forwardYou are standing on a circular track that is 315 m long. You begin jogging at the start line and keep jogging until you complete one full lap and stop at the same point you started at. - What is the total distance you travel? - What is your final displacement? A world class sprinter ran 200 m in 21.75s. What was her average speed? (m/s)arrow_forwardCan an object have a negative acceleration and be speeding up? If so, describe a possible physical situation and a corresponding coordinate system. If not, explain why not.arrow_forward
- Can an object have an acceleration of zero and a velocity that is not zero? Explain why or give an example. Can an object have a velocity of zero and an acceleration that is not zero? Explain why or give an example.arrow_forwardAn object is moving with constant non-zero acceleration along the +x-axis only. A graph of the velocity in the x direction as a function of time for this object is A ) a straight line making an angle with the time axis. B) a vertical straight line. C) a parabolic curve D) a horizontal straight line. Answer is A... Explain why it's correct and why the others aren't?arrow_forwardIf the velocity of an object is nonzero, can its acceleration be zero?Give an example if your answer is yes; explain why not if your answer is no.arrow_forward
- Is it possible for an object to have zero average velocity over a giveninterval of time, yet still be accelerating during the interval? Give anexample if your answer is yes; explain why not if your answer is noarrow_forwardIs it possible for an object to move so that it produces an absolutely vertical line on the velocity-time graph? Explainarrow_forwardA rocket car is traveling at a constant speed of 250 km/h on a salt flat. The driver gives the car a reverse thrust, and the car experiences a continuous and constant deceleration of 8.25 m/s^2. How much time elapses until the car is 175 m from the point where the reverse thrust is applied? Describe the situation for your answer.arrow_forward
- Can you have a positive or negative velocity but a position with the opposite value (negative or positive)? Explain why or why not. (Explain clear and not too hard to understand) Can you have zero velocity but a positive or negative position? Give an easy example.arrow_forwardExplain can you have zero displacement and nonzero average velocity? Zerodisplacement and nonzero velocity? Illustrate on an x-t graph.arrow_forwardThe position of a particle after t seconds is given by s = (t + 1) ln(t + 1) − 2t, where s is measured in meters. Positive values of s indicate that the particle is east of its starting point, while negative values of s indicate that it is west of its starting point. (a) Find the exact time(s) when the velocity of the particle is zero. If its velocity is never zero, explain why. (b) Find the exact time(s) when the acceleration of the particle is zero. If its acceleration is never zero, explain why.arrow_forward
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