Physicshard · Past Paper
An engine of a vehicle delivers constant power P. The displacement of the vehicle from rest in time t is proportional to:
At^2
Bt^(3/2)
Ct^(1/2)
Dt^3
✓ Correct Answer: B — t^(3/2)
P = Fv = m(dv/dt)v. Integrating: v^2 ~ t, so v ~ t^(1/2). Integrating again: s ~ t^(3/2).
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