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The velocity -time graph for a vehicle i...

The velocity -time graph for a vehicle is shown in the figure . Draw acceleration-time graph from it

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In time 0 to 2.5 s , acceleration of the vehicle,
a = slope of OA `= (20-0)/(2.5-0) = 8 ms^(-2)`
In time 2.5 to 5s, velocity of the vehicle is uniform .
So acceleration = 0
In time 5 to 7s , acceleration of the vehicle,
a = slope of BC `= (0-20)/(7 -5)`
`= - 10 ms^(-2)`
Hence the acceleration-time graph will be as shown in the figure .
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