Answer:
83 mph
Explanation:
We are told that the collision is perfect elastic, this means that no energy whatsoever was lost in the process.
We can apply the principle of conservation of momentum. It states that the total final momentum is equal to the total initial momentum in a system.
Hence, if the mass of the wall is assumed to be M and the mass of the ball is assumed to be m, we have that:
(M * V) + (m * v) = (M * U) + (m * u)
Where V = final velocity of Wall = 0 mph
v = final velocity of ball
U = initial velocity of wall = 0 mph
u = initial velocity of ball = 83 mph
Hence:
(M * 0) + (m * v) = (M * 0) + (m * 83)
=> mv = m * 83
=> v = 83 mph
The ball would have a final velocity of 83 mph.
