Question
A projectile is fired from the top of a cliff at 14.2 m/s at an angle of 36.9 degrees below the horizontal, and strikes water at the same level as the base of the cliff 3.51 seconds later. (Assume g=10.0 m/s2.)
How high was the top of the cliff above the water?
How high was the top of the cliff above the water?
Answers
all we care about is the downward velocity. Initially that is
14.2 cos -36.9° = -11.36 m/s
so, starting from height H, the height after t seconds is
-11.36t - 4.9 t^2
at t=3.51,
h = -100.24 m
So, the cliff is 100.24m high
14.2 cos -36.9° = -11.36 m/s
so, starting from height H, the height after t seconds is
-11.36t - 4.9 t^2
at t=3.51,
h = -100.24 m
So, the cliff is 100.24m high
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