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The acceleration time graph of a particl...

The acceleration time graph of a particle is shown in the Fig. 2 (CF). 11. At time ` t= 0 s` velocity of the particle is ` 8 ms^(-1)`. Its velocity ` t= 10 s` is.
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Text Solution

Verified by Experts

From acceleration - time graph. Area under the
curve and t - axis represent to change in velocity.

`A_(1)=(1)/(2)xx(6-0)xx(10-0)`
`=(1)/(2)xx6xx10=30m//s`
`A_(2)=(1)/(2)xx(10-6)xx((20)/(3))=(1)/(2)xx4xx(20)/(3)=(40)/(3)m//s`
`"Change in velocity"=v_(f)-v_(i)=30+(-(40)/(3))=(90-40)/(3)=(50)/(3)`
`v_(f)-8=(50)/(3)`
`v_(f)=8+(50)/(3)=(24+50)/(3)=(74)/(3)m//s`
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