Final answer:
The height to which the ball will rebound after striking the surface is 2.352 meters.
Step-by-step explanation:
When a ball hits a horizontal surface, it undergoes a collision and rebounds. The height to which the ball will rebound depends on the coefficient of restitution, which measures the elasticity of the collision. In this case, the coefficient of restitution is 0.8.
To calculate the height to which the ball will rebound, we can use the formula:
h_rebound = (e^2) * h_initial
Where h_rebound is the height to which the ball will rebound, e is the coefficient of restitution, and h_initial is the initial height from which the ball was dropped.
Plugging in the values, we get:
h_rebound = (0.8^2) * 4.9m = 2.352m
Therefore, the ball will rebound to a height of 2.352 meters.