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Chapter 2: Q89P (page 38)
A certain juggler usually tosses balls vertically to a height H. To what height must they be tossed if they are to spend twice as much time in the air?
The height to which the balls must be tossed if they are to spend twice as much time in the air is‘4H’.
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When a soccer ball is kicked toward a player and the player deflects the ball by “heading” it, the acceleration of the head during the collision can be significant. Figure 2-38 gives the measured acceleration a(t) of soccer player’s head for a bare head and a helmeted head, starting from rest. The scaling on the vertical axis is set by , what is the difference in the speed acquired by the bare head and the speed acquired by the helmeted head?
When startled, an armadillo will leap upward. Suppose it rises0.544 min first0.200 s, (a) what is its initial speed as it leaves the ground? (b)What is its speed at a height of0.544 m? (c) How much higher does it go?
Two trains, each having a speed of 30 km/h, are headed at each other on the same straight track. A bird that can fly 60 km/hflies off the front of one train when they are 60 kmapart and heads directly for the other train. On reaching the other train, the bird flies directly back to the first train and so forth. (We have no idea why a bird would behave in this way). What is the total distance the bird travels before the trains collide?
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.
Figure 2-45 shows a simple device for measuring your reaction time. It consists of a cardboard strip marked with a scale and two large dots. A friend holds the strip vertically, with thumb and forefinger at the dot on the right in Fig. 2-45. You then position your thumb and forefinger at the other dot (on the left in Fig. 2-45), being careful not to touch the strip. Your friend releases the strip, and you try to pinch it as soon as possible after you see it begin to fall. The mark at the place where you pinch the strip gives your reaction time. (a) How far from the lower dot should you place the 50.0 m smark? How much higher should you place the marks for (b) 100, (c) 150, (d) 200, and (e) 250 ms? (For example, should the 100 msmarker be 2 times as far from the dot as the 50msmarker? If so, give an answer of 2 times. Can you find any pattern in the answers?
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