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Q. No.The machine as shown has \(2\) rods of length \(1~\text{m}\) connected by a pivot at the top. The end of one rod is connected to the floor by a stationary pivot and the end of the other rod has a roller that rolls along the floor in a slot. As the roller goes back and forth, a \(2~\text{kg}\) weight moves up and down. If the roller is moving towards the right at a constant speed, the weight moves up with a:
| 1. | speed which is \(\frac{3}{4}\text{th}\) of that of the roller when the weight is \(0.4~\text{m}\) above the ground |
| 2. | constant speed |
| 3. | decreasing speed |
| 4. | increasing speed |
Subtopic: Â Speed & Velocity |
From NCERT
JEE
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Hints
A particle has an initial \((t = 0)\) velocity \(\vec{u}=5 \hat{i}\) and is at its origin at this instant. Its acceleration is given by \((3\hat{i}+4\hat{j}).\) When the particles \(x\) co-ordinate is \(16\) units, then its speed is:
1. \(13\) units
2. \(\sqrt{161}\) units
3. \(12\) units
4. \(\sqrt{185}\) units
1. \(13\) units
2. \(\sqrt{161}\) units
3. \(12\) units
4. \(\sqrt{185}\) units
Subtopic: Â Speed & Velocity |
From NCERT
JEE
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NEET 2026 - Target Batch - Vital
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch - Vital
The displacement of a particle changes with time as \({x}=6 t^3-12 t^2+20 t+30.\) The velocity of the particle when its acceleration becomes zero (\(t\) is time in \(\text s\)) is:
1. \(12~\text{m/s}\)
2. \(14~\text{m/s}\)
3. \(18~\text{m/s}\)
4. \(20~\text{m/s}\)
1. \(12~\text{m/s}\)
2. \(14~\text{m/s}\)
3. \(18~\text{m/s}\)
4. \(20~\text{m/s}\)
Subtopic: Â Speed & Velocity |
From NCERT
JEE
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Hints
Please attempt this question first.
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Q. No.
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