A ball traveled 188m before landing on the ground outside theball park. a) assum

Question

A ball traveled 188m before landing on the ground outside theball park. a) assuming the ball's inital velocity was 45 degreesabove the horizontal and ignoring air resistance, what did theinitial speed of the ball need to be to produce such a homerun ifthe ball was hit at a point 0.90m above ground level? assuming thatthe ground was perfectly flat. i tried solving this using y(t)= vt-1/2 gt^2 and x(t)= vt...where x(t)=(vocos)t, but i dont know inital speed or thetime. A ball traveled 188m before landing on the ground outside theball park. a) assuming the ball's inital velocity was 45 degreesabove the horizontal and ignoring air resistance, what did theinitial speed of the ball need to be to produce such a homerun ifthe ball was hit at a point 0.90m above ground level? assuming thatthe ground was perfectly flat. i tried solving this using y(t)= vt-1/2 gt^2 and x(t)= vt...where x(t)=(vocos)t, but i dont know inital speed or thetime.

Explanation / Answer

The horizontal distance traveled by the ball is             X(t) = (Vocos) t We know that              t = (2 h /g) = 2*0.90/9.8                                   = 0.428 s Vo = 188 / 0.428* cos45       = 621.19 m/s

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