During the launch of a toy rocket

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

During the launch of a toy rocket, the vertical force exerted by its motor varies with time according to

F(t)=2.0\times10^{6}\,t\,(0.020-t)

newton for

0\le t\le0.020\,\text{s}

(with

t

in seconds). Find the total impulse imparted to the rocket in this interval.