what is relation between velocity and time when power is constant

Question

Answer

Relation between Velocity and Time When Power is Constant

When the power is constant, the velocity and time show an inverse relationship. This means that as time increases, the velocity decreases and vice versa. This can be explained using the following points:

Power and Velocity

The power of an object is the rate at which work is done or energy is transferred. In physics, power is measured in watts (W), which is equal to joules per second (J/s). The velocity of an object is the rate at which it changes its position with respect to time. In physics, velocity is measured in meters per second (m/s).

When the power is constant, the work done or energy transferred is also constant. This means that the rate at which energy is transferred to the object is the same over time. If the object is moving at a constant velocity, the energy transferred to it is being used to maintain its motion. If there is no change in the velocity, then there is no net work being done on the object.

Velocity and Time

The velocity of an object is affected by the time it takes to travel a certain distance. The longer the time taken, the slower the velocity. This can be seen in the following equation:

Velocity = Distance / Time

Therefore, if the distance traveled by the object is constant, the velocity will decrease as the time increases.

Conclusion

When power is constant, the velocity and time show an inverse relationship. This means that as time increases, the velocity decreases and vice versa. This can be explained using the fact that the energy transferred to the object is used to maintain its motion. If there is no net work being done on the object, then there is no change in the velocity. The velocity is affected by the time taken to travel a certain distance, and therefore, if the distance is constant, the velocity will decrease as the time increases.

Answer

p=F.v p=m.dv/dt .vpdt=mv.dvintegrate pt=mv^2/ +cif at t=0 ,v=0 .answer would be t=( m/2p) . v^2

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