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## Homework Statement

A projectile is fired with speed v

_{0}at an angle θ from the horizontal as shown in the figure (see attachment).

## Homework 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.

## 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.