a baseball is hit so that it travels straight upward after being struck by the bat. a fan observes that it takes 3.00 seconds to reach it's maximum height. find (A) the ball initial velocity and (B) the height it reaches.
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Expert's answer
2013-03-14T10:31:55-0400
a baseball is hit so that it travels straight upward after beingstruck by the bat. a fan observes that it takes 3.00 seconds to reach it's maximum height. find
(A) the ball initialvelocity The ball falls freelly,therefore: v = v0 - g*t v0 - the ball initialvelocity g - gravitationalacceleration t - time When v = 0, t = 3.00sec: 0 = v0 - g*t => v0 = g*t v0 = 9.8*3m/s= 29.4 m/s Answer: v0 = 29.4 m/s
(B) the height itreaches. The law conservation ofenergy: m*g*h + 0= m*v0^2/2 + 0 h - maximum height h = v0^2/(2g) = | v0 = g*t | = gt^2/2 = 44.1 m Answer: h = 44.1 m
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