when Heather swings on a swing set she moves in a periodic motion like a pendulum she has a mass of 62 kg if Heather has a maximum height of 1.2 M what is her maximum velocity?

Answer

U Max velocity = Potential energy = kinetic energy

The potential energy is the product of mass * acceleration due to gravity * height

The kinetic energy is the product of 1/2 mass * square of velocity.

Max Velocity=mgh = 1/2mv^2

Mass is given as 62kg, height = 1.2m and g = 9.8m/s^2

62kg * 9.8m/s^2*1.2 = 1/2*62kg * v^2

729.12=31v^2

V^2 = 729.12/31 = 23.52

V^2=square root of 23.52

V = 4.85m/s