Power supplied to a particle of mass varies with time as watt, where is in second. If the velocity of particle at , the velocity of particle at time will be
Step1: Given data
The velocity of the particle at
Time is from
Hence, and
Step2: Formula used
Work,
The work-energy theorem establishes a link between work, power, and energy. Work done by a net force on an object equals a change in kinetic energy, according to the work-energy theorem.
Step3: Calculating the velocity of the particle
Let the mass of the body be .
It is being said that particles start from rest, it means that initial velocity, .
Substituting all the given values in the formula,
Hence, the velocity of a particle at time is given as .
Hence, option (C) is the correct answer.