A vehicle is driven along a straight horizontal track by a motor, which exerts a constant driving force. The vehicle starts from rest at t = 0 and the effects of friction and air resistance are negligible. If kinetic energy of vehicle at time t is E and power developed by the motor is P, which of the following graph is/ are correct?
Text Solution
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Since force on the vehicle is constant, therefore, it will move with a constant acceleration. Let this acceleration be ‘a’ Then at time t, its velocity will be equal to v = a.t
Hence, at time t, the kinetic energy, E = 
= 
The power associated with the force is equal P = F.v = F.at Hence, the graph between power & time will be straight line passing through the origin.
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