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

1. ut3

2. 3ut2

3. 3ut

4. 2ut

Subtopic:  Projectile Motion |
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A particle projected with kinetic energy k0 with an angle of projection θ. 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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Three particles moving with constant velocities V1, V2 and V respectively as given in the figure. After some time all three particles are in the same line, then relation among V1, V2 and V is

                                     

1.  V = V1 + V2

2.  V = V1V2

3.  V = V1V2V1+V2

4.  V = 2V1V2V1+V2

Subtopic:  Speed & Velocity |
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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 θ w.r.t. 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 θ is 45°

(4) the value of θ is 53°

Subtopic:  Relative Motion |
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 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

Subtopic:  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

Subtopic:  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

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 |
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A boat is moving with velocity of 3i^+4j^ in river and water is moving with a velocity of 3i^4j^ with respect to ground. Relative velocity of boat with respect to water is : 

(1) 6i^8j^

(2) 6i^+8j^

(3) 8j^

(4) 6i^

Subtopic:  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

Subtopic:  Relative Motion |
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