Kinematics - Physics

Question

A spring cannon sits on a table 1 m above the ground. The spring cannon is oriented at 45- degrees above the horizontal, and fires a ball with a muzzle speed of 3.5 m/s. How far does the ball travel in the horizontal direction?

Answer 1

Hello

At 45 degree Range is Max So Horizontal range up to the level of Table = u²/g = 3.5*3.5/g

An additional distance covered = for falling 1m with horizontal speed of uCos 45= u/√2

time for 1m fall with zero vertical speed = t= √(2/g)

Additional horizontal distance = (u/√2)/√(2/g) = u²/2g

So total distance coveerd before touching the ground = (3.5*3.5 /g +3.5*3.5/2g ) m