# physics

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A projectile fired vertically up from a cannon rises 200 m before returning to the ground. If the same cannon were to fire the same projectile at an angle 45 degrees, then the maximum range would be m.

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When fired straight up, the height attained is
H = V^2/(2g)

When fired at at angle A, the range is
R = (V^2/g)sin(2A)

When the angle is 45 degrees, R = V^2/g
and R = 2 H. (The H refers to the straight-up value)

Therefore the answer is 400 m.

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