A batter hits a fly ball which leaves the bat 0.88m above the ground at an angle

Question

A batter hits a fly ball which leaves the bat 0.88m above the ground at an angle of 62degree with an initial speed of 29 m/s heading toward centerfield. Ignore air resistance. How far from home plate would the ball land if not caught? Express your answer using two significant figures. The ball is caught by the centerfielder who, starting at a distance of 105m fr0m home plate, runs straight toward home plate at a constant speed and makes the catch at ground level. Find his speed. Express your answer using two significant figures.

Explanation / Answer

a) u = 29

-0.88 = 29*sin(62)*t - 0.5*9.81*t*t

x = 29*cos(62)*t

t = 5.254

so, x = 71.54 m

so, it falls at 71.54 m from home plate.

b) distance covered by him,

105-71.54 = u*t

so,

u = 6.368 m/s should be his speed

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