# A ship A is moving westwards with a speed of 10 km ${\mathrm{h}}^{-1}$ and a ship B, 100 km south of A is moving northwards with a speed of 10 km ${\mathrm{h}}^{-1}$. The time after which the distance between them becomes the shortest, is: 1. 5 hr 2. $5\sqrt{2}$ hr 3. $10\sqrt{2}$ hr 4. 0 hr

Subtopic:  Relative Motion |
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Time taken by the projectile to reach from A to B is t. Then the distance AB is equal to :

1. $\frac{ut}{\sqrt{3}}$

2. $\frac{\sqrt{3}ut}{2}$

3. $\sqrt{3}ut$

4. 2ut

Subtopic:  Projectile Motion |
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A particle projected with kinetic energy ${\mathrm{k}}_{0}$ with an angle of projection $\mathrm{\theta }$. Then the variation of kinetic K with vertical displacement y is

1.  linear

2.  parabolic

3.  hyperbolic

4.  periodic

Subtopic:  Projectile Motion |
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A river is flowing with a speed of 1 km/hr. A swimmer wants to go to point 'C' starting from 'A'. He swims with a speed of 5 km/hr, at an angle $\theta$ with respect to the river. If AB=BC=400m. Then-

(1) time taken by the man is 12 min

(2) time taken by the man is 8 min

(3) the value of $\theta$ is 45$°$

(4) the value of $\theta$ is 53$°$

Subtopic:  Relative Motion |
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A body is thrown horizontally with a velocity $$\sqrt{2 g h}$$ from the top of a tower of height $$h$$. It strikes the level ground through the foot of the tower at a distance $$x$$ from the tower. The value of $$x$$ is:

 1 $$h$$ 2 $$\frac{h}{2}$$ 3 $$2 h$$ 4 $$\frac{2 h}{3}$$
Subtopic:  Projectile Motion |
71%
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Two men $$P$$ & $$Q$$ are standing at corners $$A$$ & $$B$$ of square $$ABCD$$ of side $$8$$ m. They start moving along the track with constant speed $$2$$ m/s and $$10$$ m/s respectively. The time when they will meet for the first time, is equal to:

1. $$2$$ sec
2. $$3$$ sec
3. $$1$$ sec
4. $$6$$ sec

Subtopic:  Relative Motion |
56%
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A particle starts from the origin at t=0 and moves in the x-y plane with constant acceleration 'a' in the y direction. Its equation of motion is $y=b{x}^{2}$. The x component of its velocity (at t=0) is:

(1) variable

(2) $\sqrt{\frac{2a}{b}}$

(3) $\frac{a}{2b}$

(4) $\sqrt{\frac{a}{2b}}$

Subtopic:  Acceleration |
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A body is projected with a velocity $$u$$ with an angle of projection $$\theta$$. Change in velocity after the time $$(t)$$ from the time of projection will be:

 1 $$gt$$ 2 $$\frac{1}{2}gt^2$$ 3 $$u\sin\theta$$ 4 $$u\cos\theta$$
Subtopic:  Projectile Motion |
51%
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What determines the nature of the path followed by the particle?

(1) Speed only

(2) Velocity only

(3) Acceleration only

(4) None of these

Subtopic:  Projectile Motion |
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A boat is sent across a river in perpendicular direction with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is :

(1) 10 km/hr

(2) 8 km/hr

(3) 6 km/hr

(4) 4 km/hr

Subtopic:  Relative Motion |
85%
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