# The velocity of a projectile at the initial point A is $\left(2\stackrel{^}{\mathrm{i}}+3\stackrel{^}{\mathrm{j}}\right)$m/s. Its velocity (in m/s) at point B is:              1. $-2\stackrel{^}{\mathrm{i}}+3\stackrel{^}{\mathrm{j}}$ 2. $2\stackrel{^}{\mathrm{i}}-3\stackrel{^}{\mathrm{j}}$ 3. $2\stackrel{^}{\mathrm{i}}+3\stackrel{^}{\mathrm{j}}$ 4. $-2\stackrel{^}{\mathrm{i}}-3\stackrel{^}{\mathrm{j}}$

Subtopic:  Projectile Motion |
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The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is:

1. $\theta ={\mathrm{tan}}^{-1}\left(\frac{1}{4}\right)$

2. $\theta ={\mathrm{tan}}^{-1}\left(4\right)$

3. $\theta ={\mathrm{tan}}^{-1}\left(2\right)$

4. $\theta ={45}^{0}$

Subtopic:  Projectile Motion |
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A particle moves in a circle of radius 5 cm with constant speed and time period $0.2\mathrm{\pi }$ sec. The acceleration of the particle is:

1.  25 m/s2

2.  36 m/s2

3.  5 m/s2

4.  15 m/s2

Subtopic:  Circular Motion |
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A body is moving with a velocity of 30 m/s towards the east. After 10 sec, its velocity becomes 40 m/s towards the north. The average acceleration of the body is:

1.

2.

3.

4.

Subtopic:  Acceleration |
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A missile is fired for a maximum range with an initial velocity of 20 m/s. If g= 10 m/s2, then the range of the missile will be

1.  50 m

2.  60 m

3.  20 m

4.  40 m

Subtopic:  Projectile Motion |
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A particle has initial velocity and has acceleration . Its speed after 10 s is

1. 7 units

2. 7$\sqrt{2}$units

3. 8.5 units

4. 10 units

Subtopic:  Uniformly Accelerated Motion |
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A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands on the level ground, the magnitude of change in its momentum will be:

1.  $2\mathrm{mv}$

2.  $\mathrm{mv}/\sqrt{2}$

3.  $\mathrm{mv}\sqrt{2}$

4.  zero

Subtopic:  Projectile Motion |
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A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are ($\sqrt{3}$, 3). The path of the particle makes an angle of .......................with the x-axis :

1. 30o

2. 45o

3. 60o

4. 0o

Subtopic:  Position & Displacement |
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For a projectile projected at angles (45°-θ) and (45°+θ), the horizontal ranges described by the projectile are in the ratio of:

1. 1:1

2. 2:3

3. 1:2

4. 2:1

Subtopic:  Projectile Motion |
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A car turns at a constant speed on a circular track of radius 100 m, taking 62.8 s for every circular lap. The average velocity and average speed for each circular lap, respectively, is :

1. 0,0

2. 0, 10 m/s

3. 10 m/s, 10 m/s

4. 10 m/s, 0

Subtopic:  Speed & Velocity |
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