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# A : The acceleration-time graph for an object moving along straight line, starting from rest is as shown in figure.Speed of the particle is maximum at time t1.R : Velocity is maximum when acceleration is maximum.

Asked by dipanshusingla029 23rd May 2018, 5:16 PM

We are given that acceleration is function of time.

so we have  .....................(1)
where v is speed and a is acceleration

we can write velocity v as a functon of time from (1) as follows

hence v(t) , i.e. velocity at time t is area under the given curve that represent the acceleration function for a small time period dt as shown in figure.

we can see that the area under the curve having small width dt is maximum at t = t1.
hence we can conclude speed is maximum at t = t1.
Answered by Expert 25th May 2018, 12:56 PM
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