Question

What height do you need to set your rollercoaster at to reach a final velocity of 30m/s^2?( using the conservation of energy formula)

Answer 1

Below

Step-by-step explanation:

The gravitational Potential Energy due to height will be converted to Kinetic Energy at the low point bottom:

PE = KE

mgh = 1/2 mv^2 divide by m

gh = 1/2 v^2

h = 1/2 v^2 / g = 1/2 * 30^2 / 9.81 = 45.9 m