Question

The position of a particle moving on a straight line
under the action of a force is given as x = 50t - 5t².
Here, x is in metre and t is in second. If mass of
the particle is 2 kg, the work done by the force
acting on the particle in first 5 s is
(1) 2500 J
(2) -2500 J
(3) 5000 J
(4) -5000 J​

Answer 1

Answer:

The displacement of a particle moving in a straight line is a vector defined as the change in its position. If the particle moves from the position x(t1) to the position x(t2), its displacement is x(t2)−x(t1) for the time interval [t1,t2]. The distance travelled by a particle is the 'actual distance' travelled.