A ball of mass $0.5\,\text{kg}$, initially at rest, is kicked directly toward a fence from a point $32\,\text{m}$ away, as shown above. The velocity of the ball as it leaves the kicker’s foot is $20\,\text{m/s}$ at an angle of $37^\circ$ above the horizontal. The top of the fence is $2.5\,\text{m}$ high. The ball hits nothing while in flight and air resistance is negligible.

Question

A ball of mass $0.5\,\text{kg}$, initially at rest, is kicked directly toward a fence from a point $32\,\text{m}$ away, as shown above. The velocity of the ball as it leaves the kicker&#8217;s foot is $20\,\text{m/s}$ at an angle of $37^\circ$ above the horizontal. The top of the fence is $2.5\,\text{m}$ high. The ball hits nothing while in flight and air resistance is negligible.(a) Determine the time it takes for the ball to reach the plane of the fence.
, (b) Will the ball hit the fence? If so, how far below the top of the fence will it hit? If not, how far above the top of the fence will it pass?
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Rita · Accepted Answer

$ t = 2 \, \text{s} $
$ 1.9 \, \text{m} $ above the fence.

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