The position of an object moving along the x-axis is given by, $$x=a+bt^2$$  where $$a=8.5$$ m, $$b=2.5$$ ms-2and $$t$$ is measured in seconds. Its velocity at $$t=2.0$$ s will be:
1. $$13$$ m/s
2. $$17$$ m/s
3. $$10$$ m/s
4. $$0$$

Subtopic: Â Instantaneous Speed & Instantaneous Velocity |
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The displacement $$x$$ of a particle varies with time $$t$$ as $$x = ae^{-\alpha t}+ be^{\beta t}$$$\mathrm{}$
, where $$a,$$ $$b,$$ $$\alpha,$$ and $$\beta$$ are positive constants. The velocity of the particle will:

 1 be independent of $$\alpha$$ and $$\beta.$$ 2 go on increasing with time. 3 drop to zero when $$\alpha=\beta.$$ 4 go on decreasing with time.
Subtopic: Â Instantaneous Speed & Instantaneous Velocity |
Â 52%
From NCERT
AIPMT - 2005
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