A fox fleeing from a hunter encounters a 0.665 m tall fence and attempts to jump it. The fox jumps with an initial velocity of 7.05 m/s at an angle of 45.0°, beginning the jump 2.17 m from the fence. By how much does the fox clear the fence? Treat the fox as a particle.

Answer 1

vertical:
hf=hi+7.05sin45*t-4.9t^2
horizontal:
2.17=7.05cos45*t

solve for t in the horizontal equation, put that in to the verticalequation, then you have its height. Subtract the height of the fence.