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%
To view explanation, please take trial in the course.
NEET 2026 - Target Batch - Vital
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch - Vital

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 |
 84%
Level 1: 80%+
NEET - 2017
To view explanation, please take trial in the course.
NEET 2026 - Target Batch - Vital
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch - Vital

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 |
 55%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.

advertisementadvertisement

Given below are two statements: 
Assertion (A): In a two-dimensional motion, there are two accelerations acting on the particle.
Reason (R): Both the components of velocity, i.e., horizontal and vertical, in case of free fall keeps on changing with respect to time. 
 
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 |
Level 3: 35%-60%
To view explanation, please take trial in the course.
NEET 2026 - Target Batch - Vital
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch - Vital

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%+
To view explanation, please take trial in the course.
NEET 2026 - Target Batch - Vital
Hints
To view explanation, please take trial in the course.
NEET 2026 - Target Batch - Vital