A body is thrown horizontally with a velocity 2gh 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) h2

(3) 2h

(4) 2h3

Concept Questions :-

Projectile motion
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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=bx2. The x component of its velocity (at t=0) is:

(1) variable

(2) 2ab

(3) a2b

(4) a2b

Concept Questions :-

Acceleration
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A body projected with velocity u with an angle of projection θ. Change in velocity after the time (t) from the projection is:

(1) gt

(2) 12gt2

(3) u sinθ

(4) u cosθ

Concept Questions :-

Projectile motion
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A particle has initial velocity 3i^+4j^ and has acceleration 0.4i^+0.3j^. Its speed after 10 s

1. 7 units

2. 72 units

3. 8.5 units

4. 10 units

Concept Questions :-

Uniformly accelerated motion
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The gravity in space is given by g=-10 j^ ms-2. Two particles are simultaneously projected with velocity u1=10 ms-1i^+10 ms-1j^ and u2=20 ms-1i^+10 ms-1j^. Then, the ratio of their times of flight

1. 1:1

2. 1:2

3. 2:1

4. none

Concept Questions :-

Projectile motion
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The x and y coordinates of a particle at any time t are given by x=7t+4t2 and y = 5t, where x and y are in metre and t in seconds. The acceleration of particle at t = 5s is  

(1) Zero

(2) 8 m/s2

(3) 20 m/s2

(4) 40 m/s2

Concept Questions :-

Acceleration
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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

Concept Questions :-

Relative motion
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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 is 

(1) 5 min

(2) 60 min

(3) 20 min

(4) 30 min

Concept Questions :-

Relative motion
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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

Concept Questions :-

Relative motion
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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

Concept Questions :-

Relative motion
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