Solve the following :


The acceleration of a cart started at $t=0$, varies with time as shown in the given figure. Find the distance travelled in 30 seconds and draw the position-time graph.


By velocity-time graph,

Acceleration $=$ slope $=t$

$\mathrm{V}=50 \mathrm{~m} / \mathrm{s}$.

Distance=Area of v-t graph



$=1000 \mathrm{ft}$

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