Answer:
Maximum height, h = 10 m
Explanation:
It is given that,
Mass of golf ball, m = 45 g = 0.045 kg
The ball comes down on a tree root and bounces straight up with an initial speed of 14.0 m/s.
We need to find the height the ball will rise after the bounce. It is based on the conservation of energy such that,
[tex]\dfrac{1}{2}mv^2=mgh[/tex]
h is maximum height raised by the ball
[tex]h=\dfrac{v^2}{2g}\\\\h=\dfrac{(14)^2}{2\times 9.8}\\\\h=10\ m[/tex]
So, the ball will raised to a height of 10 meters.