3. A ball is dropped from a height of 15m. Whenever the ball hits the floor with
velocity v₁, it rebounds off the floor with velocity v₂, where v2 = -0.8v₁. Assume
g = 9.8ms-2
a.
Find the time it takes for the ball to hit the ground the first time.
b. After it hits the floor the second time, find the maximum height the ball reaches.
c. Find the displacement of the ball after 10 seconds.
d. Find the total distance travelled by the ball after 13 seconds.