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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 Po. The instantaneous velocity of this car is proportional to :
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- t2Po
- t1 / 2
- t–1/2
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t √m
Correct Option: B
Constant power of car P0 = F.V = ma.v
| P0 = m | .v | |
| dt |
P0 dt = mv dv
Integrating
| P0 t = | ||
| 2 |
∵ P0 , m and 2 are constant
∴ v ∝ √t
