The acceleration (a)-time (t) graph for a par | vedclass

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Question

(a)

From the graph it is evident that the acceleration is decreasing with time.

Also, $a \propto-t$

$\Rightarrow a=-k t \quad$ (decreasing wi

Vedclass · Accepted Answer

Vedclass · Answer

(a)

From the graph it is evident that the acceleration is decreasing with time.

Also, $a \propto-t$

$\Rightarrow a=-k t \quad$ (decreasing with time)

To find velocity,

$\frac{d v}{d t}=-k t$

$\int d v=\int-k t d t$

$v \propto-t^2$ or graph of velocity should be parabolic with a decreasing slope.

The acceleration (a)-time $(t)$ graph for a particle moving along a straight starting from rest is shown in figure. Which of the following graph is the best representation of variation of its velocity $(v)$ with time $(t)$ ?

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