the snowball's horizontal speed as it starts to fall is
8 cos 40° = 6.13 m/s
Since s = 1/2 at^2, it takes 1.69 seconds to fall 14 meters.
It takes only 1.58s to fall to the height of the man's head.
So the ball moves horizontally 6.13*1.58 = 9.69 meters. Looks like it will sail over the man's head.
Extra credit. How far above the man's head will the snowball be as it flies over?
A snowball off a roof that slopes downward at an angle of 40degrees. The edge of the roof is 14 m above the ground and the snowball has a speed of 8 m/s as it rolls off the edge of the roof. If a 1.8 m tall man is standing 4 m from the top of the edge of the roof, will he be hit by the snowball? Give details.
1 answer