A particle of mass m moves in one dimension under a constant positive power P supplied by the net force. It starts from rest. Which statements are correct?
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Question

A particle of mass m moves in one dimension under a constant positive power P supplied by the net force. It starts from rest. Which statements are correct?

G1 Physics · Accepted Answer

½mv²=Pt ⇒ v∝√t. Then a=dv/dt∝t⁻¹ᐟ², so acceleration decreases. Integrating v∝t¹ᐟ² gives x∝t³ᐟ².