- 1(current)
Q. No.A particle is moving along the \(x\text-\)axis with its position \((x)\) varying with time \((t)\) as \(x=\alpha t^{4}+\beta t^{2}+\gamma t+\delta.\) The ratio of its initial velocity to its initial acceleration is:
1. \(2\alpha:\delta \)
2. \(\gamma:2\delta \)
3. \(4\alpha:\beta \)
4. \(\gamma:2\beta \)
1. \(2\alpha:\delta \)
2. \(\gamma:2\delta \)
3. \(4\alpha:\beta \)
4. \(\gamma:2\beta \)
Subtopic: Instantaneous Speed & Instantaneous Velocity |
77%
Level 2: 60%+
NEET - 2024
Hints
Two cars \(P\) and \(Q\) start from a point at the same time in a straight line and their positions are represented by; \(x_p(t)= at+bt^2\) and \(x_Q(t) = ft-t^2. \) At what time do the cars have the same velocity?
| 1. | \(\dfrac{a-f}{1+b}\) | 2. | \(\dfrac{a+f}{2(b-1)}\) |
| 3. | \(\dfrac{a+f}{2(b+1)}\) | 4. | \(\dfrac{f-a}{2(1+b)}\) |
Subtopic: Instantaneous Speed & Instantaneous Velocity |
82%
Level 1: 80%+
NEET - 2016
Hints
Links
If the velocity of a particle is \(v=At+Bt^{2},\) where \(A\) and \(B\) are constants, then the distance travelled by it between \(1~\text{s}\) and \(2~\text{s}\) is:
| 1. | \(3A+7B\) | 2. | \(\frac{3}{2}A+\frac{7}{3}B\) |
| 3. | \(\frac{A}{2}+\frac{B}{3}\) | 4. | \(\frac{3A}{2}+4B\) |
Subtopic: Instantaneous Speed & Instantaneous Velocity |
88%
Level 1: 80%+
NEET - 2016
Hints
Links
The displacement \(x\) (in \(\text m\)) of a particle of mass \(m\) (in \(\text{kg}\)) moving in one dimension under the action of a force, is related to time \(t\) (in \(\text s\)) by; \(t = (\sqrt x +3 ).\) The displacement of the particle when its velocity is zero will be:
| 1. | \(4~\text m\) | 2. | zero |
| 3. | \(6~\text m\) | 4. | \(2~\text m\) |
Subtopic: Instantaneous Speed & Instantaneous Velocity |
89%
Level 1: 80%+
NEET - 2013
Hints
- 1(current)
Q. No.
© 2026 GoodEd Technologies Pvt. Ltd.