Find out the velocity of the mass:
A mass of weight 29.4 Newton is subjected into a time dependent force,
F(t) = (3t 3 + 5) along x direction. Find out the velocity of the mass after
3 seconds, if initial velocity = 4 metres per second.
Solution
Letting the impulse momentum equation during a period from 0 to 3 seconds
where, mass m = W/g = 29.4 /9.8 = 3 kg.
and
V_{(t = 0)} = 4 m / sec
∴ V_{3} - 4 = 14
or, V_{3} after 3 seconds = 18 metres/sec along x direction.