# 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 |
52%
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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%
From NCERT
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A boat is moving with velocity of $3\stackrel{^}{i}+4\stackrel{^}{j}$ in river and water is moving with a velocity of $-3\stackrel{^}{i}-4\stackrel{^}{j}$ with respect to ground. Relative velocity of boat with respect to water is:

(1) $-6\stackrel{^}{i}-8\stackrel{^}{j}$

(2) $6\stackrel{^}{i}+8\stackrel{^}{j}$

(3) $8\stackrel{^}{j}$

(4) $6\stackrel{^}{i}$

Subtopic:  Relative Motion |
82%
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A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h and having a width of 1 km. The minimum time taken around a round trip(returning to the initial point) is:

(1) 5 min

(2) 60 min

(3) 20 min

(4) 30 min

Subtopic:  Relative Motion |
54%
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A river is flowing from W to E with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so as to take the shortest possible path to go to the south.

(1) 30° with downstream

(2) 60° with downstream

(3) 120° with downstream

(4) South

Subtopic:  Relative Motion |
54%
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A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is

(1) East-north direction

(2) West-north direction

(3) South-east direction

(4) None of these

Subtopic:  Relative Motion |
60%
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