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The position-time relation of a particle...

The position-time relation of a particle moving along the x-axis is given by
`x=a-bt+ct^(2)`
where a, b and c are positive numbers. The velocity-time graph of the particle is

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
C
`x=a-bt+ct^(2)`
`v=(dx)/(dt)=-b+2 ct`
v-t graph
`y=-b+2 cx`, straight line
`y=C+mx`
Slope `m=2c`, +ve
Intercept, `c=-b`, -ve
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CP SINGH-MOTION IN A STRAIGHT LINE-EXERCISES
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  2. The displacement-time graph for two particle A and B are straight line...

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  3. The displacement-time graph of a particle is as shown below. It indica...

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  4. The graph between the displacement x and time t for a particle moving ...

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  5. The position-time relation of a particle moving along the x-axis is gi...

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  6. The velocity-time graph of a body moving in a straight line is shown b...

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  7. The graph below shws the velocity versus time graph for a body Wh...

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  8. The velocity time plot for a particle moving on straight line is show...

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  9. Which of the following velocity-time graphs shows a realistic situatio...

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  10. Look at the graphs Fig. 2 (NCT) .5.(a) to (d) carefully and state, wit...

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  11. The variation of velocity of a particle with time moving along a strai...

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  12. The velocit-time graph of a body moving in a straight line is shown in...

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  13. The velocity-time graph of a body moving in a straight line is given b...

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  14. A particle starts from rest at t=0 and moves in a straight line with a...

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  15. A particle starting from rest. Its acceleration (a) versus time (t) is...

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  17. An object is moving with a uniform acceleration which is parallel to i...

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  18. The given graph shows the variation of velocity with displacement. Whi...

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  20. A particle is moving such that its position coordinates (x, y) are (2m...

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