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The distance 's' described by a particle...

The distance `'s'` described by a particle in `t` seconds is given by `s=ae^t+be^-t`. The velocity at any time `t` is

A

`ae^t+be^-t`

B

`ae^t-be^-t`

C

`-ae^-t-be^t`

D

`ae^-t+be^t`

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
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  2. The distance described by a particle in t seconds is given by s=ae^t+b...

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  3. If the distance s travelled by a particle in time t is given by s=t^2-...

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  4. The distance travelled by a particle in time t is gicen by s=t^3-2t^2-...

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  5. A particle is projected vertically upward. Its height 'h' at time 't' ...

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  7. A particle moves along a line according to the law s=t^4-5t^2+8. The i...

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  8. The distance moved by the particle in time t is given bys=t^3-12t^2+6...

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  9. A particle moves along a line according to the law s=4t^3-3t^2+2. At w...

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  10. The distance form a fixed point O of a particle pmoving in a straight ...

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  11. the distance s covered in time t by a particle moving along a straight...

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  12. The velocity v and the distance s travelled by a particle has the rela...

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  13. The velocity v of a point moving along a line when it is at a distance...

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  14. The distance travelled by a particle in time t is given by s=10t-7t^3....

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  15. For particle moving in a striaght line it is observed that tha distanc...

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  16. A particle is moving along a straight line according to the law s=16+4...

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  17. A particle moving according to the law s=6t-1/2t^3. At what time its v...

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  18. A particle is moving along a line according to the law s=t^3-3t^2+5. T...

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  19. A particle is moving in a straight line with the relation between the ...

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  20. The distance s feet travelled by a particle in time t seconds is given...

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