ch02-p057 - 57 The average acceleration during contact with...

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57. The average acceleration during contact with the floor is a avg = ( v 2 v 1 ) / Δ t , where v 1 is its velocity just before striking the floor, v 2 is its velocity just as it leaves the floor, and Δ t is the duration of contact with the floor (12 × 10 –3 s). (a) Taking the y axis to be positively upward and placing the origin at the point where the ball is dropped, we first find the velocity just before striking the floor, using 22 10 2 vv g y =− . With v 0 = 0 and y = – 4.00 m, the result is 2 1 2 2(9.8 m/s )( 4.00 m) 8.85 m/s vg y =− − where the negative root is chosen because the ball is traveling downward. To find the velocity just after hitting the floor (as it ascends without air friction to a height of 2.00 m),
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