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From the v versus t graph of figure (a) ...

From the v versus t graph of figure (a) the time (s) at which the particle is at rest (b) at what time, if any does the particle reverse the direction of its motion? (c) The distance and displacement of the particle from `t=0`s to `t=6` s.

Text Solution

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(a) `t=0,3 sec` , (b) `t=3 sec`
(c) displacement `=-(1)/(2)(3xx4)+(1)/(2)(3+2)(4)`
`=-6+10=4m`
distance `=|-(1)/(2)(3xx4)|+|(1)/(2)(3+2)(4)|`
`=6+10 =16m`
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