Q. No.The position of a particle at time \(t\) is given by, \(x=3t^3\), \(y=2t^2+8t\), and \(z=6t-5\). The initial velocity of the particle is:
| 1. | \(20\) unit | 2. | \(10\) unit |
| 3. | \(5\) unit | 4. | \(13\) unit |
Subtopic: Position & Displacement | Speed & Velocity | Projectile Motion |
82%
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A ball is projected with a velocity of \(10~\text{m/s}\) at an angle of \(60^\circ\) with the vertical direction. Its speed at the highest point of its trajectory will be:
1. \(10~\text{m/s}\)
2. zero
3. \(5\sqrt{3}~\text{m/s}\)
4. \(5~\text{m/s}\)
1. \(10~\text{m/s}\)
2. zero
3. \(5\sqrt{3}~\text{m/s}\)
4. \(5~\text{m/s}\)
Subtopic: Projectile Motion |
60%
From NCERT
NEET - 2022
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A truck starts from rest and accelerates uniformly at \(2.0~\text{ms}^{-2}\). At \(t = 10~\text{s}\), a stone is dropped by a person standing on the top of the truck (\(6\) m high from the ground). What is the acceleration of the stone at \(t = 11~\text{s}\)? (Neglect air resistance.)
1. \(10\) ms–2 (upward)
2. \(15\) ms–2 (downward)
3. \(10\) ms–2 (downward)
4. \(15\) ms–2 (upward)
Subtopic: Projectile Motion |
74%
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Select the correct option based on the statements given below:
| Statement I: | When a projectile is at its highest point, its tangential acceleration is zero. |
| Statement II: | When a projectile is at the highest point of its trajectory, its speed is minimum. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Projectile Motion |
63%
From NCERT
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Given below are two statements:
| Assertion (A): | When a body is dropped or thrown horizontally from the same height, it would reach the ground at the same time. |
| Reason (R): | Horizontal velocity has no effect on the vertical direction. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Projectile Motion |
79%
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A train is moving along a straight line with an acceleration \(\dfrac{g}{3}.\) A person in the train projects a ball with speed of \(5\) m/s at an angle of \(53^\circ\) with the vertical in the direction of the motion of the train. The horizontal distance covered by the ball with respect to observer inside the train will be:
1. \(4\) m
2. \(0.4\) m
3. \(1.8\) m
4. \(1.5\) m
1. \(4\) m
2. \(0.4\) m
3. \(1.8\) m
4. \(1.5\) m
Subtopic: Projectile Motion |
From NCERT
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A car starts from rest and accelerates at \(5~\text{m/s}^{2}.\) At \(t=4~\text{s}\), a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at \(t=6~\text{s}?\)
(Take \(g=10~\text{m/s}^2\))
1. \(20\sqrt{2}~\text{m/s}, 0~\text{m/s}^2\)
2. \(20\sqrt{2}~\text{m/s}, 10~\text{m/s}^2\)
3. \(20~\text{m/s}, 5~\text{m/s}^2\)
4. \(20~\text{m/s}, 0~\text{m/s}^2\)
Subtopic: Projectile Motion |
62%
From NCERT
NEET - 2021
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Two particles \(A ~\text{and}~ B\) are projected at different angles \(\theta_A,\theta_B\) with the horizontal, but with the same speed of projection. Their maximum heights are \(H_A,H_B\) and their horizontal ranges \(R_A,R_B.\) If \(\theta_A>\theta_B\) then:
1. \(H_A>H_B\)
2. \(R_A>R_B\)
3. \(H_A<H_B\)
4. \(R_A<R_B\)
1. \(H_A>H_B\)
2. \(R_A>R_B\)
3. \(H_A<H_B\)
4. \(R_A<R_B\)
Subtopic: Projectile Motion |
65%
From NCERT
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A batsman hits a ball with a speed of \(14\sqrt2\) ms–1 in a direction \(45^\circ\) above the horizontal. The maximum height attained by the ball will be:
1. \(20.0\) m
2. \(10.0\) m
3. \(\dfrac{\sqrt2}{0.7}\) m
4. \(14\sqrt2\) m
1. \(20.0\) m
2. \(10.0\) m
3. \(\dfrac{\sqrt2}{0.7}\) m
4. \(14\sqrt2\) m
Subtopic: Projectile Motion |
78%
From NCERT
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Given below are two statements:
| Assertion (A): | A particle is projected at an angle \(\theta\) (<\(90^\circ\)) to horizontal, with a velocity \(u.\) When particle strikes the ground, its speed is again \(u.\) |
| Reason (R): | Velocity along horizontal direction remains the same but velocity along vertical direction is changed. When a particle strikes the ground, the magnitude of final vertical velocity is equal to the magnitude of the initial vertical velocity. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Projectile Motion |
81%
From NCERT
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