Agirl swings on a playground swing in such a way that at her highest point she is 4.1 m from the ground, while at her lowest point she is 0.8 m from the ground. what is her maximum speed? the acceleration of gravity is 9.8 m/s². answer in units of m/s.

V1 =8.1 m/s

Explanation:

height at highest point (h2) = 4.1 m

height at lowest point (h1) = 0.8 m

acceleration due to gravity (g) = 9.8 m/s^{2}

from conservation of energy, the total energy at the lowest point will be the same as the total energy at the highest point. therefore

mgh1 + = mgh2 +

where

      m(gh1 + ) = m(gh2)

      gh1 + = gh2

      V1 =

now we can substitute all required values into the equation above.

V1 =

V1 =

V1 =8.1 m/s