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Chapter 2: Q82P (page 37)
Figure 2-44 gives the acceleration a versus time t for a particle moving along an x axis. The ‘a’ axis scale is set by . At, the particle’s velocity is 7.0 m/s. What is its velocity at?
The velocity of the particle at isrole="math" localid="1660885428340"
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Figure 2-42 shows part of a street where traffic flow is to be controlled to allow a platoon of cars to move smoothly along the street. Suppose that the platoon leaders have justreached intersection 2, where the green appeared when they were distance dfrom the intersection. They continue to travel at a certain speed (the speed limit) to reach intersection 3, where the green appears when they are distance dfrom it. The intersections are separated by distancesand. (a) What should be the time delay of the onset of green at intersection 3 relative to that at intersection 2 to keep the platoon moving smoothly?
Suppose, instead, that the platoon had been stopped by a red light at intersection 1. When the green comes on there, the leaders require a certain time to respond to the change and an additional time to accelerate at some rate ato the cruising speed. (b) If the green at intersection 2 is to appear when the leaders are distance d from that intersection, how long after the light at intersection 1
turns green should the light at intersection 2 turn green?
Two particles move along an x axis. The position of particle 1 is given by (in meters and seconds); the acceleration of particle 2 is given by(in meters per second squared and seconds), and, at , its velocity is. When the velocities of the particles match, what is their velocity?
A muon (an elementary particle) enters a region with a speed ofand then is slowed down at the rate of. (a)How far does the muon take to stop? (b) Graph x vs t and v vs t for the muon.
To test the quality of a tennis ball, you drop it into the floor from a height
of 4.00 m. It rebounds to a height of 2m. If the ball is in contact with the floor
for 12.0 ms, (a) What is the magnitude of its average acceleration during the
contact. (b) Is the average acceleration up or down?
At the instant the traffic light turns green, an automobile starts with a constant acceleration aof. At the same instant, a truck traveling with a constant speed of, overtakes and passes the automobile. (a)How far beyond the traffic signal will the automobile overtake the truck? (b)How fast will the automobile be traveling at that instant?
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