Subject Date: / الموافق find the y = موضوع الدرس التاريخ / Solution (clairant Equat PX+f(P) since p-dy dx

A ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. The ball takes the following times for each fall. = -16t + 16, = 0 whent = 1 S1 -16t2 + 16(0.81), -16t2 + 16(0.81)², -16t2 + 16(0.81)³, S1 = 0 when t = 0.9 S2 S3 S2 %D (0.9)2 (0.9)3 S3 = 0 whent = %3D S4 S4 = 0 when t = Sn -16t2 + 16(0.81)" - 1, Sn = 0 whent = (0.9)^ – 1 Beginning with s2, the ball takes the same amount of time to bounce up as it does to fall, and so the total time elapsed before it comes to rest is given by 00 t = 1 + 2 (0.9)". n = 1 Find this total time. t = sec

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