Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground and leaves the bat at an angle of 30∘ with the horizontal. Find the minimum initial velocity needed for the ball to clear the fence.

Step-by-step explanation:

u = Initial velocity of baseball

= Angle of hit =

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

= Height of hit = 2.5 ft

= g = Acceleration due to gravity =

t = Time taken

Displacement in x direction

Displacement in y direction

The minimum initial velocity needed for the ball to clear the fence is

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step-by-step explanation:

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