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Look Out! A snowball rolls off a barn roof that slopes downward at an angle of 40 degrees . The edge of the roof is 14.0 m above the ground, and the s

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asked 2021-05-16
Look Out! A snowball rolls off a barn roof that slopes downward at an angle of 40 degrees . The edge of the roof is 14.0 m above the ground, and the snowball has a speed of 7.00 m/s as it rolls off the roof. Ignore air resistance.
A man 1.9 m tall is standing 4.0 m from the edge of the barn. Will he be hit by the snowball?

Expert Answers (1)

2021-05-18
\(\displaystyle{\frac{{{4}}}{{{7}{\cos{{40}}}}}}={0.7459}{s}\)
The snowball will be 4 meters from the barn in 0.7459 seconds.
\(\displaystyle{s}={u}{t}+{.5}{a}{t}^{{2}}\)
\(\displaystyle={\left({7}{\sin{{40}}}\right)}\cdot{0.7459}+{.5}\cdot{9.8}\cdot{\left({0.7459}\right)}^{{2}}\)
= 6.083 m
In 0.7459 seconds the ball will fall 6.083 meters.
It will still be 14.0-6.083 = 7.917 meters above the ground.
It will fly over the head of the man and NOT hit him.
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