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A particle moves in a straight line with...

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

A

The maximum value of theposition coordinate of the particle is `54 m`.

B

The maximum value of theposition 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 the graph up to `t= 24` a As up to `t=24 s`. The displacement of the particle will be possitive Fig.
.
Maximum value of position coordinate
`=-16 + [(2 xx 10) +((2+6)/(2)) xx (18 -10) +(1xx6)/(2) xx(24-18)]`
`=-16+[20 +32 +18] =54 m`
At time `t=18 s`
Position `=-16 +` Area of graph up to `t=18 s`
`=-16 +[20+32=18] =54 m`
At time `t=30 s`.
Position `=-16 +`Area of graph up to `t=30 s`
`=- 16+[70 -(1)/(2) xx6xx6] =36 m`.
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