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V(x) is the velocity of a particle of a ...

`V_(x)` is the velocity of a particle of a particle moving along the `x-`axis as shown. If `x=2.0m` at `t=1.0s`, what is the position of the particle at `t=6.0s`?

A

`-2.0m`

B

`+2.0m`

C

`+1.0m`

D

`-1.0m`

Text Solution

Verified by Experts

The correct Answer is:
D
Displacement`=`Area under `v-t` graph (`t=1` to `6s`)
`=(1)/(2)xx2xx1-((1)/(2)xx4xx2)rArr-3m`
`x=(2-3)m=-1m`
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Knowledge Check

  • v_(x) is the velocity of a particle moving along the x-axis as shown in the figure. If x=2.0m at t=1.0s, what is the position of the particle at t=6.0s ?

    A
    `-2.0` m
    B
    `+2.0` m
    C
    `+1.0` m
    D
    `-1.0` m

  • Figure shows the graph of velocity versus time for a particle going along x axis. Initially at t = 0, particle is at x = 3m. Find position of particle at t = 2s. (in m)

    A
    9m
    B
    3m
    C
    12m
    D
    6m

  • Position of a particle moving along x-axis is given by x=2+8t-4t^(2) . The distance travelled by the particle from t=0 to t=2 is:-

    A
    0
    B
    8
    C
    12
    D
    16

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