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A particle moves in a straight line with...

A particle moves in a straight line with the velocity as shown in. At `t=0 ,x=-16 m`,
.

A

The maximum value of the position coordinate of the particle is 54 m

B

The maximum value of the position coordinate of the particle is 36 m

C

The particle is at the position of 36 m at `t = 18 s`

D

The particle is at the position of 36 m at `t = 30 s`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Maximum value of position coordinate
`=` initial coordinate + area under graph upto t
`=24s` (As upto `t = 24 s`, the displacement of the particle will be positive)
Maximum value of position coordinate
`= - 16 + [(20 xx 10) + ((2 + 6)/(2)) xx (18 - 10) + (1 xx 6)/(2) xx (24 - 18)]`
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