A baseball is hit so that it travels straight upward after beingstruck by the ba

Question

A baseball is hit so that it travels straight upward after beingstruck by the bat. A fan observes that it takes 3.00s for the ballto reach its maximum height. Find (a) the ball's initial velocityand (b) the height it reaches.

I am not looking for the answers, I'm asking what formula touse!

The solution manual and few others has given me the formula

Vf = Vi - axt
Vi = axt
Vi = gxt

I understand that -Vi = -axt >>>> Vi = axt, but whathappened to Vf? The question did not give us the velocity so howdid we know Vf is zero?

Explanation / Answer

when the ball reach the maximum height=> thevelocity of the ball must be zero.(because if the velocityis not equal to zero,assume its velocity is upward=> it canreach the larger height, if its velocity is downward=> itreached the maximum height before that time) so we have: at the maximum height :V=Vo-gt =0 => Vo=gt =9.8*3=29.4 m/s the height : H= Vo.t -(1/2).gt^2 = 29.4*3 -(1/2)*9.8*3^2 =44.1m

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