Question

a roller-coaster car rolls down a frictionless track, reaching speed at the bottom. if you want the car to go twice as fast at the bottom, by what factor must you increase the height of the track? explain.

Answer 1

Step-by-step explanation:

The height of the track must be increased by a factor of 4. This is because the car's speed is proportional to the square root of the height. Therefore, increasing the height by a factor of 4 will result in the car reaching twice its original speed at the bottom.