Question

A soccer ball, mass 3 kg, is kicked straight up with a velocity of 25 m/s. How high will the ball travel?

Answer 1

h = 31.9 m

Step-by-step explanation:

When the ball travels from the ground to the highest point, its kinetic energy is converted into potential energy. So by the law of conservation of energy:

`Kinetic\ Energy\ Lost\ by\ ball = Potential\ Energy\ gained\ by\ ball\\(1)/(2)mv^(2) = mgh\\\\h = (v^(2))/(2g)`

where,

h = height gained by ball = ?

v = speed of ball = 25 m/s

g = acceleration due to gravity = 9.8 m/s²

Therefore,

`h = ((25\ m/s)^(2))/(2(9.8\ m/s^(2)))`

h = 31.9 m