A body of mass 3 kg is under a constant force which causes a displacemen...

Q. A body of mass 3 kg is under a constant force which causes a displacement s in metre in it, given by the relation s=1/3t2, where t is in second. Work done by the force in 2 s is 

AIPMT/NEET 2006 | W.P.E Q 1 |

Instantaneous velocity function is the derivative of the displacement with respect to time. v(t) = dx(t)/ dt
The InstantaneousAcceleration (or simplyacceleration) is the derivative of the velocitywith respect to time.
a = dv/ dt In words, the acceleration of a particle at any instant is the rate at which its velocity is changing at that instant.
In words, the acceleration of a particle at any instant is the second derivative of its position vector with respect to time.

Newton’s Second law
Newton’s first law explains what happens to an object when no net force acts on it. It either remains at rest or moves in straight line with constant speed. Newton’s second law answers the question, what happens to an object that has a nonzero resultant force acting on it.
When viewed from an inertial reference frame, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

Work done by a constant force is the dot product of force & displacement vectos.

In this case body is moving under constant force so displacement & force vectors will be parallel .

we can Follow the Firangi here and think that there are four sub qus , in first qus

, we can calculate velocity as a function of time , in second qus , we can calculate acceleration as a function of time , in third qus , we can calculate force and in the last part we can calculate work done.

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