A car is accelerated by a constant force, $F.$ The distance required to accelerate the

car from rest to the speed $v$ is $x.$

Part A

Is the distance required to accelerate the car from the speed $v$ to the speed $2v$ equal to $x,2x,3x,$ or $4x?$

$x^{\text{'}}=x$

$x^{\text{'}}=2x$

$x^{\text{'}}=3x$

$x^{\text{'}}=4x$

Part B

Choose the best explanation from among the following:

Work is force times distance, and work depends on the speed squared.

The final speed is twice the initial speed.

The increase in speed is the same in each case.