Posted by Physics on Friday, January 29, 2010 at 10:30pm.
The height of the rock above the base of the cliff is:
Y = 100 + 40 sin 42 t - 4.905 t^2
= 100 + 26.765 t - 4.905 t^2.
When t = 4.08, Y = 127 m
Your answer is incorrect.
Solve for t when Y = 0
Then multiply that time by 40 m/s*cos 42, the horizontal velocity component.
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