(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A projectile is fired with speed v_{0}at an angle θ from the horizontal as shown in the figure (see attachment).

2. Relevant equations

A. Find the highest point in the trajectory, H. Express the highest point in terms of the magnitude of the acceleration due to gravity g, the initial velocity v_{0}, and the angle θ.

B. What is the range of the projectile, R? Express the range in terms of v_{0}, θ, and g.

C. Find the angle theta above the horizontal at which the projectile should be fired. Express your answer in terms of H and R.

D. What is the initial speed? Express v_{0}in terms of g, R, and H.

E. Find t_{g}, the flight time of the projectile. Express the flight time in terms of H and g.

3. The attempt at a solution

A. H=(v_{0}sin(θ))^{2})/2g

B. R=v_{0}^{2}sin(2θ)/g

C. I know that arctan(2H/R)=θ, however this isn't the correct answer. I've tried everything I can think of, but don't know how to solve this part.

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# Projectile Motion: Shooting over a hill

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