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A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P₀. The instantaneous velocity of this car is proportional to:

1. P₀²
2. t¹/²
3. t²
4. t/√m

Correct answer: t¹/²

Solution

The power delivered to the car is given by P = Fv, where F is the force and v is the velocity. Since P₀ is constant, v ∝ t¹/² when starting from rest and considering the relationship between power, force, and velocity.

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