Question

A roller coaster car begins its roll from the top of the tracks at a speed of2 meters per second. When it reaches the bottom of the 200-meter drop four seconds later, its speed is 22 meters per second. What was the averagespeed of the roller coaster ride in meters per second over the 200-meter drop

Answer 1

The speed of the car from the top of the track is,

`u=2ms^(-1)`

The distance traveled by the car is,

`d=200\text{ m}`

The speed of the car after 4 seconds is,

`v=22ms^(-1)`

Thus, the average speed of the car is,

`v_(av)=(u+v)/(2)`
`\begin{gathered} v_(av)=(2+22)/(2) \\ v_(av)=12ms^(-1) \end{gathered}`

Thus, the average speed of the roller coaster car is 12 meter per second.