[Physics] Numerical: Work Power Energy

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A particle moves along a straight line. A force acts on the particle which produces a constant power. It starts with initial velocity 3 m/s and after moving a distance 252 m its velocity is 6 m/s. Find the time taken.

Here are my attempts at solving it.

Best Answer

Hint : You assumed the force to be constant by using $W=Fx$ which is wrong. It is $W=\int Fdx$

Use $P=\frac{dW}{dt}$

Use work energy theorem. Use calculus. Find distance covered when speed is $6ms^{-1}$. That should eliminate your variables if the question has sufficient information.

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