The $$x$$ and $$y$$ coordinates of the particle at any time are $$x=5 t-2 t^2$$ and $${y}=10{t}$$ respectively, where $$x$$ and $$y$$ are in meters and $$\mathrm{t}$$ in seconds. The acceleration of the particle at $$\mathrm{t}=2$$ s is:

 1 $$5\hat{i}~\text{m/s}^2$$ 2 $$-4\hat{i}~\text{m/s}^2$$ 3 $$-8\hat{j}~\text{m/s}^2$$ 4 $$0$$
Subtopic: Â Acceleration |
Â 81%
From NCERT
NEET - 2017
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A body is moving with a velocity of $$30$$ m/s towards the east. After $$10$$ s, its velocity becomes $$40$$ m/s towards the north. The average acceleration of the body is:
1. $$7 \mathrm{~m} / \mathrm{s}^2$$
2. $$\sqrt{7} \mathrm{~m} / \mathrm{s}^2$$
3. $$5 \mathrm{~m} / \mathrm{s}^2$$
4. $$1 \mathrm{~m} / \mathrm{s}^2$$

Subtopic: Â Acceleration |
Â 76%
From NCERT
AIPMT - 2011
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