Q. No.A man driving a scooter at \(15~\text{m/s}\) brakes at the rate of \(2~\text{m/s}^2\). His speed, after \(10~\text{s}\) after the application of brakes will be:
1. \(5~\text{m/s}\)
2. \(-5~\text{m/s}\)
3. \(0~\text{m/s}\)
4. \(10~\text{m/s}\)
Subtopic: Uniformly Accelerated Motion |
From NCERT
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A boy throws a ball straight up the side of a building and receives it after \(4~\text s.\) On the other hand, if he throws it so that it strikes a ledge on its way up, it returns to him after \(3~\text s.\) The ledge is at a distance \(d\) below the highest point, where \(d=? \) (take acceleration due to gravity, \(g=10~\text{ms}^{-2})\)
1. \(5~\text m\)
2. \(2.5~\text m\)
3. \(1.25~\text m\)
4. \(10~\text m\)
Subtopic: Uniformly Accelerated Motion |
From NCERT
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A particle is projected vertically upwards with a speed \(u\) and moves under the force of gravity. The distance travelled by the particle during its entire motion (until it returns) is \(d_1.\) If the force of gravity were to be switched off, and the particle travelled for the same length of time, then the distance travelled is \(d_2.\) Then,
1. \(d_2 = d_1\)
2. \(d_2 = 2d_1\)
3. \(d_2 = 3d_1\)
4. \(d_2 = 4 d_1\)
1. \(d_2 = d_1\)
2. \(d_2 = 2d_1\)
3. \(d_2 = 3d_1\)
4. \(d_2 = 4 d_1\)
Subtopic: Uniformly Accelerated Motion |
53%
From NCERT
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Two stones \(A\) and \(B\) are projected simultaneously with the same speed: one \((A)\) vertically up and the other \((B)\) horizontally from the same point. Stone \(A\) rises up to a maximum height \(H\) and falls down. The separation between \(A\) and \(B,\) when \(A\) reaches its maximum height:
| 1. | is less than \(H\) |
| 2. | is greater than \(H\) |
| 3. | is equal to \(H\) |
| 4. | cannot be related with \(H\) |
Subtopic: Uniformly Accelerated Motion |
61%
From NCERT
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A ball, when thrown vertically upward from the ground, just reaches the top of a building in \(4~\text s.\) When dropped from the middle of the building, it will reach the ground in:
1. \(4~\text s\)
2. \(2\sqrt2~\text s\)
3. \(2~\text s\)
4. \(4(\sqrt2-1)~\text s\)
1. \(4~\text s\)
2. \(2\sqrt2~\text s\)
3. \(2~\text s\)
4. \(4(\sqrt2-1)~\text s\)
Subtopic: Uniformly Accelerated Motion |
68%
From NCERT
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Two particles move along the positive \(x\)-axis, starting from the origin. One \((A)\) moves with a constant velocity while the other \((B)\) moves with a constant acceleration, but no initial velocity. Then:
| 1. | \(A\) is always ahead of \(B.\) |
| 2. | \(B\) is always ahead of \(A.\) |
| 3. | \(A\) is initially ahead, but \(B\) overtakes it. |
| 4. | \(B\) is initially it ahead, but \(A\) overtakes it. |
Subtopic: Uniformly Accelerated Motion |
73%
From NCERT
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A particle moves along a straight line starting from rest at the origin and accelerates uniformly to reach a speed \(v\) in time \(T.\) The distance covered by it in time \(T\) is:
1. \(\dfrac12vT\)
2. \(vT\)
3. \(\dfrac32vT\)
4. \(2vT\)
1. \(\dfrac12vT\)
2. \(vT\)
3. \(\dfrac32vT\)
4. \(2vT\)
Subtopic: Uniformly Accelerated Motion |
76%
From NCERT
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During uniformly accelerated motion in a straight line, which of the following can be negative or positive?
| 1. | distance travelled | 2. | time travelled |
| 3. | average velocity | 4. | average speed |
Subtopic: Uniformly Accelerated Motion |
87%
From NCERT
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A particle moves along the \(x\)-axis between two walls: one at \(x=0~(\text m)\) and the other at \(x=6~(\text m).\) It begins moving along the positive \(x\)-axis from \(x=0,\) with an initial velocity, \(u=5~\text{m/s}.\) When it reaches a wall \((\text{e.g.,}~x=6~\text m),\) it collides with the wall and its velocity is reversed. The particle undergoes a constant acceleration \(a=2~\text {m/s}^2\) along the positive \(x\)-axis, except for the collision with the walls. The velocity of the particle, when it returns to \(x=0\) for the third time, has the magnitude
1. \(5~\text{m/s}\)
2. \(11~\text{m/s}\)
3. \(13~\text{m/s}\)
4. \(17~\text{m/s}\)
1. \(5~\text{m/s}\)
2. \(11~\text{m/s}\)
3. \(13~\text{m/s}\)
4. \(17~\text{m/s}\)
Subtopic: Uniformly Accelerated Motion |
61%
From NCERT
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Two particles \(A\) and \(B,\) having an initial separation \(s,\) start to move towards each other: \(A\) moves with a uniform velocity \(u,\) and \(B\) moves with a uniform acceleration \(a.\) If they meet after a time \(t,\) then:
| 1. | \(s=ut+{\Large\frac12}at^2\) |
| 2. | \(s=ut-{\Large\frac12}at^2\) |
| 3. | \(s={\Large\frac12}at^2-ut\) |
| 4. | none of the above holds |
Subtopic: Uniformly Accelerated Motion |
63%
From NCERT
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