The time taken by a block of wood (initially at rest) to slide down a smooth inclined plane $$9.8~\text{m}$$ long (angle of inclination is $$30^{\circ}$$) is:

 1 $$\frac{1}{2}~\text{sec}$$ 2 $$2 ~\text{sec}$$ 3 $$4~ \text{sec}$$ 4 $$1~\text{sec}$$
Subtopic: Â Uniformly Accelerated Motion |
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A particle starts from the origin at $$t=0$$ sec with a velocity of $$10\hat j~\text{m/s}$$ and moves in the $$x\text-y$$ plane with a constant acceleration of $$(8.0\hat i +2.0 \hat j)~\text{m/s}^2$$. At what time is the $$x\text-$$coordinate of the particle $$16~\text{m}$$?
1. $$2$$ s
2. $$3$$ s
3. $$4$$ s
4. $$1$$ s

Subtopic: Â Uniformly Accelerated Motion |
Â 72%
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A particle starts from the origin at $$t=0$$ with a velocity of $$5.0\hat i$$ m/s and moves in the $$x\text-y$$ plane under the action of a force that produces a constant acceleration of $$(3.0\hat i + 2.0\hat j)~\text{m/s}^2$$. What is the speed of the particle at the instant its $$x\text-$$coordinate is $$84$$ m?

 1 $$36$$ m/s 2 $$26$$ m/s 3 $$1$$ m/s 4 $$0$$ m/s
Subtopic: Â Uniformly Accelerated Motion |
Â 70%
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