- 1(current)
Q. No.In a two-dimensional motion, the instantaneous speed of a particle remains constant at a positive value \(v_0.\) Which of the following statements must always be true?
| 1. | The particle has zero acceleration. |
| 2. | The particle’s acceleration is increasing. |
| 3. | The particle’s acceleration always lies in the plane of motion. |
| 4. | The particle necessarily moves in a uniform circular path. |
Subtopic: Acceleration |
Level 3: 35%-60%
Hints
The \(x\) and \(y\) coordinates of the particle at any time are \(x = 5t-2t^2\) and \(y=10t\) respectively, where \(x\) and \(y\) are in metres and \(t\) is in seconds. The acceleration of the particle at \(t=2\) s is:
1. \(0\) m/s2
2. \(5\) m/s2
3. \(-4\) m/s2
4. \(-8\) m/s2
Subtopic: Acceleration |
85%
Level 1: 80%+
NEET - 2017
Hints
A particle is moving southward with a velocity of \(10\) m/s. In \(4\) s, the velocity changes to \(10\) m/s eastward. The average acceleration of the particle during this time interval is:
| 1. | \(5\sqrt2\) m/s2, directed Southeast (SE) |
| 2. | \(\dfrac{5}{\sqrt2}\) m/s2, directed Southeast (SE) |
| 3. | \(5\sqrt2\) m/s2, directed Northeast (NE) |
| 4. | \(\dfrac{5}{\sqrt2}\) m/s2, directed Northeast (NE) |
Subtopic: Acceleration |
54%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
Given below are two statements:
| Assertion (A): | In projectile motion, both the horizontal and vertical components of acceleration are non-zero. |
| Reason (R): | In projectile motion, both the horizontal and vertical components of velocity remain constant throughout the motion. |
| 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: Acceleration |
50%
Level 3: 35%-60%
Hints
The position vector of a particle \(\vec{r}\) as a function of time \(t\) (in seconds) is \(\vec{r}=(3t) \hat{i}+(2t^2) \hat{j}\) m. The initial acceleration of the particle is:
| 1. | \(2\) m/s2 | 2. | \(3\) m/s2 |
| 3. | \(4\) m/s2 | 4. | \(\mathrm{zero}\) |
Subtopic: Acceleration |
87%
Level 1: 80%+
Hints
- 1(current)
Q. No.
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