Two projectiles are thrown horizontally from a high cliff in the opposite direction with the same speed 20 m/ s simultaneously. At what time velocities of both particles become perpendicular?

(1) 22 s

(2) 2 s

(3) 4 s

(4) 42 s

Subtopic:  Projectile Motion |
 67%
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The equation of the trajectory of a projectile is given as y = 4x - 14x2. The range of the projectile is:

(1) 1 m

(2) 32 m

(3) 16 m

(4) 48 m

Subtopic:  Projectile Motion |
 80%
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A cannon can give a maximum speed of 70 m/s to bombs. The maximum distance up to which cannon projects a bomb is (g = 10 m/s2)

(1) 490 m

(2) 245 m

(3) 100 m

(4) 300 m

Subtopic:  Projectile Motion |
 70%
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A man is running horizontally at a velocity of 6 m/s while rain is falling vertically at 6 m/s. The rain strikes the man with a speed of

(1) 62 m/s

(2) 33 m/s

(3) 6 m/s

(4) 18 m/s

Subtopic:  Relative Motion |
 90%
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A man wants to cross a river 600 m wide flowing at 8 m/s in the shortest time. Man has a speed of 6 m/ s in still water. What is the path length covered by the man in the river?

1. Infinite

2. 1 km

3. 100 m

4. 1000 cm

Subtopic:  Relative Motion |
 63%
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The trajectory of a projectile in the vertical plane is y = ax - bx2 where a and b are constants, x and y are horizontal and vertical displacements from point of projection. The angle of projection from the horizontal is

1.  tan-1 ab

2.  tan-1 b

3.  tan-1 ba

4.  tan-1 a

Subtopic:  Projectile Motion |
 65%
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A shell is fired vertically upward with a velocity of 20 m/s from a trolley moving horizontally with a velocity of 10 m/s. A person on the ground observes the motion of the shell-like a parabola whose horizontal range is: (g = 10 m/s2)

1. 20 m 2. 10 m
3. 40 m 4. 400 m
Subtopic:  Projectile Motion |
 74%
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A car is moving at a speed of 30 m/s on a horizontal circular track of radius of 300 m. This speed is increasing at a rate of 4 m/s2. Total acceleration of the car is:

(1) 5 m/s2

(2) 7 m/s2

(3) 1 m/s2

(4) 3 m/s2

Subtopic:  Circular Motion |
 81%
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A particle is moving along a circular path of radius a with constant angular velocity ω. The magnitude of displacement of the particle as a function of time t is:

1.  a cos ωt

2.  a cos ωt2

3.  a sin ωt2

4.  2a sin ωt2

Subtopic:  Circular Motion |
 55%
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A projectile starts with speed u at an angle θ from the horizontal ground. The average velocity of the projectile between the point of projection and the point of arrival on the ground is:

(1) usinθ

(2) 2usinθ

(3) ucosθ

(4) 2ucosθ

Subtopic:  Projectile Motion |
 59%
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