How to find the Height and Distance

Question

If a cannonball is fired at an angle of 53° above horizontal, what is the maximum height and distance it can reach

Answer 1

To answer this, you also need to know the speed v at which it is fired, which you did not provide in the question.

 

Maximum height H:

 

H = v²sin²θ / (2g)

 

Maximum range R:

 

R = v²sin(2θ) / g

 

v = ?

θ = 53°

g = 9.8 m/s²

 

Plug in the numbers.