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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A projectile is thrown with speed 50 m/s at an angle 53° with the horizontal. Taking horizontal as x-axis and vertical as y-axis, the equation of trajectory of the projectile is

(1) 180y = 140x - x2

(2) 180y = 240x - x2

(3) 180y = 90x - 2x2

(4) 180y = 80x - 3x2

Subtopic:  Projectile Motion |
 79%
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Time of flight of a body dropped from a height H is T. If another body is projected horizontally with speed v from the same height, then its time of flight will be:

1.  T

2.  T+Hv

3.  T-Hv

4.  T2+H2v2

Subtopic:  Projectile Motion |
 68%
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The vertical component of the velocity of a projectile from the ground is 40 m/s and its velocity at the highest point is 30 m/s. The horizontal range of the projectile is:

(1) 120 m

(2) 1200 m

(3) 240 m

(4) 2400 m

Subtopic:  Projectile Motion |
 78%
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Two particles are thrown for same horizontal range R with the same initial speed (u), however, their times of flight are T1 and T2 respectively. Which of the following is correct if maximum heights attained by them are H1 and H2 respectively?

1.  T12 + T22 = 2ug

2.  T1T2 = 2Rg

3.  H1H2 = T1T22

4. All of these

Subtopic:  Projectile Motion |
 72%
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In the given diagram shown for a projectile, what is the angle of projection?

                           

1.  tan-14

2.  tan-183

3.  tan-143

4.  tan-153

Subtopic:  Projectile Motion |
 64%
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