ch04-p040

# ch04-p040 - 40. We adopt the positive direction choices...

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(c) From yg t =− 1 2 2 , we see that the ball has reached the height of () 2 2 1 2 | 9.80 m/s 0.205 s | 0.205 m −= at the moment the ball is halfway to the batter. (d) The ball’s height when it reaches the batter is 2 2 1 2 9.80 m/s 0.409 s 0.820m , which, when subtracted from the previous result, implies it has fallen another 0.615 m. Since the value of y is not simply proportional to t , we do not expect equal time-intervals to correspond to equal height-changes; in a physical sense, this is due to the fact that the initial y -velocity for the first half of the motion is not the same as the “initial” y -velocity for the second half of the motion. 40. We adopt the positive direction choices used in the textbook so that equations such as Eq. 4-22 are directly applicable. The initial velocity is horizontal so that
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