Answer:
12.64 m
Explanation:
Recall that the formulas for kinetic & poteintial energy are:
kinetic energy = (1/2) m v²
potential energy = m g h
where m = mass of the baseball,
g = acceleration due to gravity (i.e 9.81 m/s²)
v = initial velocity = 56.7 km/h = 15.75 m/s
h = height (we are asked to find this)
For a baseball to come to a complete stop when thrown straight up and neglecting air resistance. By the conservation of energy, we can say that kinetic energy is entirely transformed into potential energy, i.e
kinetic energy = potential energy
(1/2) m v² = m g h (m cancels out)
(1/2) v² = g h (rearranging)
h = (1/2) v² /g
Given that the initial velocity, v = 56.7 km/h = 15.75 m/s
substituting this into our equation:
h = (1/2) v² /g
h = (1/2) (15.75)² /9.81
h = 12.64 m
