A particle has an initial velocity ($$2\mathrm{i}+3\mathrm{j}$$) and an acceleration ($$0.3\mathrm{i}+0.2\mathrm{j}$$). The magnitude of velocity after 10 s will be:
1. $$9 \sqrt{2} ~\text{units}$$
2. $$5 \sqrt{2} ~\text{units}$$
3. $$5 ~\text{units}$$
4. $$9~\text{units}$$

Subtopic:  Uniformly Accelerated Motion |
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NEET - 2012
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A particle has an initial velocity $\stackrel{\to }{\mathrm{u}}=\left(4\stackrel{^}{i}-5\stackrel{^}{j}\right)$ m/s and it is moving with an acceleration $\stackrel{\to }{\mathrm{a}}=\left(\frac{1}{4}\stackrel{^}{i}+\frac{1}{5}\stackrel{^}{j}\right)m/{s}^{2}$. Velocity of the particle at $$t=2$$ s will be:

1. $\left(6\stackrel{^}{\mathrm{i}}-4\stackrel{^}{\mathrm{j}}\right)\mathrm{m}/\mathrm{s}$

2. $\left(4.5\stackrel{^}{i}-4.5\stackrel{^}{\mathrm{j}}\right)\mathrm{m}/\mathrm{s}$

3. $\left(4.5\stackrel{^}{i}-4.6\stackrel{^}{\mathrm{j}}\right)\mathrm{m}/\mathrm{s}$

4. $\left(6\stackrel{^}{\mathrm{i}}-4.6\stackrel{^}{\mathrm{j}}\right)\mathrm{m}/\mathrm{s}$

Subtopic:  Uniformly Accelerated Motion |
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A body started moving with an initial velocity of $$4$$ m/s along the east and an acceleration $$1$$ m/s2 along the north. The velocity of the body just after $$4$$ s will be?

 1 $$8$$ m/s along East 2 $$4 \sqrt{2}$$ m/s along North-East 3 $$8$$ m/s along North 4 $$4 \sqrt{2}$$ m/s along South-East
Subtopic:  Uniformly Accelerated Motion |
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A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from the rest at the top. How much time does it take to cover one-fourth distance starting from the rest at the top?

 1 1 s 2 2 s 3 4 s 4 16 s
Subtopic:  Uniformly Accelerated Motion |
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The time taken by a block of wood (initially at rest) to slide down a smooth inclined plane 9.8 m long (angle of inclination is $30°$) is:

 1 $$\frac{1}{2} \mathrm{sec}$$ 2 $$2 ~\mathrm{sec}$$ 3 $$4~ \mathrm{sec}$$ 4 $$1~ \mathrm{sec}$$
Subtopic:  Uniformly Accelerated Motion |
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A particle starts from the origin at t = 0 with a velocity of 5.0î m/s and moves in the x-y plane under the action of a force that produces a constant acceleration of (3.0î +2.0 ĵ ) $\mathrm{m}/{\mathrm{s}}^{2}$. What is the speed of the particle at the instant its x-coordinate is 84 m?

 1 36 m/s 2 26 m/s 3 1 m/s 4 0 m/s
Subtopic:  Uniformly Accelerated Motion |
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A particle starts from the origin at = 0 sec with a velocity of $10$ $\stackrel{^}{j}$ $m/s$ and moves in the x-y plane with a constant acceleration of $$(8.0\hat i +2.0 \hat j)$$ $$\text{ms}^{-2}$$. At what time is the x- coordinate of the particle 16 m?

 1 2 s 2 3 s 3 4 s 4 1 s

Subtopic:  Uniformly Accelerated Motion |
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A particle starts moving with constant acceleration with initial velocity ($$\hat{\mathrm{i}}+5\hat{\mathrm{j}}$$$\stackrel{}{\mathrm{}}$) m/s. After $$4$$ seconds, its velocity becomes ($$3\hat{\mathrm{i}}-2\hat{\mathrm{j}}$$) m/s. The magnitude of its displacement in 4 seconds is:
1. $$5$$ m
2. $$10$$ m
3. $$15$$ m
4. $$20$$ m

Subtopic:  Uniformly Accelerated Motion |
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A body is slipping from an inclined plane of height h and length l. If the angle of inclination is θ, the time taken by the body to come from the top to the bottom of this inclined plane is:

1. $\sqrt{\frac{2h}{g}}$

2. $\sqrt{\frac{2l}{g}}$

3. $\frac{1}{\mathrm{sin}\theta }\sqrt{\frac{2h}{g}}$

4. $\mathrm{sin}\theta \sqrt{\frac{2h}{g}}$

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

1. 36 m

2.  26 m

3.  1 m

4.  0 m

Subtopic:  Uniformly Accelerated Motion |
61%
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