Physics 9702 · AS & A Level · Non-uniform motion

Non-uniform motion — practice question

A car moving along a horizontal road has a maximum useful output power of $P$. The overall resistive force on the car is $kv^2$, where $v$ is the car’s speed and $k$ is a constant. Which equation is correct when the car is moving at maximum speed?

  • A$v^3 = \frac{P}{k}$
  • B$v^2 = \frac{P}{k}$
  • C$v = \left(\frac{P}{k}\right)^2$
  • D$v = \left(\frac{P}{k}\right)^3$

Worked solution & mark scheme

This 1-mark question has a full step-by-step worked solution and mark scheme.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI