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The velocity time graph of the motion of...

The velocity time graph of the motion of a car is given here.

A

The distance travelled by the car in the first six seconds is 150 m.

B

The deceleration of the car during the last two seconds are `-15 m/s^(2)`.

C

The distance travelled by the car in the first six second is 220 m.

D

The deceleration of the car during the last two second is `-20 m/s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
The area enclosed between v-f curve give the distance travelled by the body.

`:.` tance travelled by the car in the first six seconds = Arca of triangle ABC + Area of rectangle BDEC
`-(1)/(2) xx2xx3xx10^(3)+(6-2)xx3xx10^(3)`
`= 3xx10^(3)+12xx10^(3)=15 xx10^(3)cm =150`m .
From straight line equation ,
`nu=u+at implies 0=3xx10^(3)+a xx2`
`a= -(3xx10^(3))/(2)=-1.5xx10^(3)cm//s^(2)=-15m//s^(2)`
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