Question

1. Grant pitches a fastball to batter Mike at 41m/s. Mike connects and rockets it out to left field. Dillon fields the ball in left field as Mike passes second base. Mike attempts to take third and is 13m away from third base running at 8m/s when Dillon then throws the ball to the third baseman, Nick. Dillon throws the ball from 1.8m above the ground at 25m/s horizontally and 8m/s vertically. Ignoring air resistance, and assuming that Nick catches the ball 1.8m above the ground answer the following:
   1. How high does the ball go on its way to third base?
   2. If Mike maintains his velocity of 8m/s will he make to third base safely before the ball? (Justify with times)

Answer 1

(a) PrtSc SysRq consider trajectory of ball from Nick to third basemon initial speed x = 25 m/s - My = 8 mis considering vertical component of neon " y = 6 + 205 0 = 82 - 2x9.8x (4h) H-h=3.265 H=3.265+ 1.8 1H=5.065 ml let also at time token for ball to reach third base = 16 time taken to reach marimum height to = ex-ge o = 8 – 9.8 to do = 1.6335 Ctrl Time taken by mike en = 13 = 1-6255 since to em Mike will make to the third base safely before boll

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