Question

The acceleration of a particle is increasing linearly with time t as bt. The particle starts from origin with an initial velocity u. The distance travelled by the particle in time t will be?

Answer 1

d²s/dt² =btintigrateV= ds/dt = bt²/2 +cat t=0 V=Uso U =0 +cds/dt = bt²/2 +Ufurther intigrates= b/6 t³ +Ut +dat t=0 s=0so d=0S =b/6 t³ +Ut