Q22 of 35 Page 55

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

Here, Acceleration of the particle = a = bt

Also, initial speed = u; time taken = t; final velocity = v; Distance Travelled = s


Now, we know that,




Now, integrating both sides, we get:





At t = 0; v = u → c = u


So,


Now, we also know that,



Integrating again we get,





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