A particle starts from the origin at = 0 sec with a velocity of 10 j^ m/s and moves in the x-y plane with a constant acceleration of \((8.0\hat i +2.0 \hat j)\) \(\text{ms}^{-2}\). At what time is the x- coordinate of the particle 16 m?

1. 2 s

2. 3 s

3. 4 s

4. 1 s

Subtopic:  Uniformly Accelerated Motion |
 70%
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A particle is moving along a circle such that it completes one revolution in 40 seconds. In 2 minutes 20 seconds, the ratio of \(|displacement| \over distance\) will be:
1. 0
2. 1/7
3. 2/7
4. 1/11

Subtopic:  Position & Displacement |
From NCERT
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Consider the motion of the tip of the second hand of a clock. In one minute (assuming \(R\) to be the length of the second hand), its:

1. displacement is \(2\pi R\)
2. distance covered is \(2R\)
3. displacement is zero.
4. distance covered is zero.
Subtopic:  Position & Displacement |
 86%
From NCERT
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A person, reaches a point directly opposite on the other bank of a flowing river, while swimming at a speed of 5 m/s at an angle of \(120^\circ\) with the flow. The speed of the flow must be:
1. \(2.5\) m/s
2. \(3\) m/s
3. \(4\) m/s
4. \(1.5\) m/s

Subtopic:  Relative Motion |
 82%
From NCERT
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A car with a vertical windshield moves in a rain storm at a speed of \(40\) km/hr. The rain drops fall vertically with a constant speed of \(20\) m/s. The angle at which raindrops strike the windshield is:
1. tan-159

2. tan-195

3. tan-132

4. tan-123

Subtopic:  Relative Motion |
 61%
From NCERT
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A particle projected from origin moves in the x-y plane with a velocity v=3i^+6xj^, where i^ and j^ are the unit vectors along the x and y-axis. The equation of path followed by the particle is:

1. y=x2

2. y=1x2

3. y=2x2

4. y=1x

Subtopic:  Speed & Velocity |
From NCERT
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The position coordinates of a projectile projected from ground on a certain planet (with no atmosphere) are given by y=(4t-2t2)m and x=(3t) metre, where t is in seconds and point of projection is taken as the origin. The angle of projection of projectile with vertical is:

1. 30°

2. 37°

3. 45°

4. 60°

Subtopic:  Projectile Motion |
 79%
From NCERT
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The velocity at the maximum height of a projectile is 32 times its initial velocity of projection (u). Its range on the horizontal plane is:

1. 3u22g

2. 3u22g

3. 3u2g

4. u22g

Subtopic:  Projectile Motion |
 73%
From NCERT
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The equation of a projectile is y=ax-bx2. Its horizontal range is?

1. ab

2. ba

3. a+b

4. b-a

Subtopic:  Projectile Motion |
 71%
From NCERT
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When a particle is projected at some angle to the horizontal, it has a range R and time of flight t1. If the same particle is projected with the same speed at some other angle to have the same range, its time of flight is t2, then:

1. t1+t2=2Rg

2. t1-t2=Rg

3. t1t2=2Rg

4. t1t2=Rg

Subtopic:  Projectile Motion |
 73%
From NCERT
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