Question

A roller coaster designer wants to know what the speed of the cars will be at each point on the ride so that structural supports can be constructed accordingly. The heights of the ride are given such that the initial height is h = 135m , point A is 40.5m , point B is 60.8m , point C is 79.7m , and point D is 0 m (each height given above the ground level). (Figure 1)

Figure 1: http://tinypic.com/view.php?pic=303hjq9&s=8#.U-R-FlZbTwI

Sorry only way I could image on website....

Use the diagram and the information given to find the velocity at the point A, B, C and D

Answer 1

Answer 2

1) K.E at A = mg(135 - 40.5) = 94.5mg

or,0.5 mv² = 94.5mg

or, v at A = 43.04 m/s

2) K.E at B = mg(135 - 60.8) = 74.2mg

or,0.5 mv² = 74.2mg

or, v at B = 38.14 m/s

3) K.E at C = mg(135 - 79.7) = 55.3mg

or, 0.5 mv² = 55.3mg

or, v at C = 32.92 m/s

4) K.E at D = mg(135 - 0) = 135mg

or, 0.5 mv² = 135mg

or, v at D = 51.44 m/s