As part of his new act Gonzo launches himself from his canno

As part of his new act, Gonzo launches himself from his cannon. The cannon is mounted on the stage 10 ft above the ground and Gonzo reaches his maximum height S seconds after lauch What is Gonza\'s initial velocity?

Solution

v = u + a*t ...............(1)

where, v = final velocity

           u = initial velocity

          t = time

At the maximum height, the projectile comes to a halt and after that starts to fall back. So, in 8 seconds Gonzo reaches his maximum height where his velocity is zero.

from equation 1

0 = u - 9.8*8,     where, a=acceleration due to gravity = -9.8 m/s/s, and t = 8 sec.

or, u = 78.4 m/s = initial velocity of Gonzo in vertical direction.