# In the given figure, $$a=15$$ m/s2 represents the total acceleration of a particle moving in the clockwise direction in a circle of radius $$R=2.5$$ m at a given instant of time. The speed of the particle is:                1. $$4.5$$ m/s 2. $$5.0$$ m/s 3. $$5.7$$ m/s 4. $$6.2$$ m/s

Subtopic:  Circular Motion |
61%
From NCERT
NEET - 2016
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The $$x$$ and $$y$$ coordinates of the particle at any time are $$x=5 t-2 t^2$$ and $${y}=10{t}$$ respectively, where $$x$$ and $$y$$ are in meters and $$\mathrm{t}$$ in seconds. The acceleration of the particle at $$\mathrm{t}=2$$ s is:

 1 $$5\hat{i}~\text{m/s}^2$$ 2 $$-4\hat{i}~\text{m/s}^2$$ 3 $$-8\hat{j}~\text{m/s}^2$$ 4 $$0$$
Subtopic:  Acceleration |
81%
From NCERT
NEET - 2017
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A particle moves so that its position vector is given by, $$\vec{r}=\mathrm{cos} \omega t ~\hat{x}+ \mathrm{sin} \omega t~ \hat{y},$$ where $$\omega$$ is a constant. Which of the following is true?

 1 velocity and acceleration both are parallel to $$\vec{r}.$$ 2 velocity is perpendicular to $$\vec{r}$$ and acceleration is directed towards to origin. 3 velocity is parallel to $$\vec{r}$$ and acceleration is directed away from the origin. 4 velocity and acceleration both are perpendicular to $$\vec{r}.$$
Subtopic:  Circular Motion |
78%
From NCERT
NEET - 2016
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A particle of mass $$10$$ g moves along a circle of radius $$6.4$$ cm with a constant tangential acceleration. What is the magnitude of this acceleration, if the kinetic energy of the particle becomes equal to $$8 \times 10^{-4}$$ J by the end of the second revolution after the beginning of the motion?
 1 $$0.15$$ m/s2 2 $$0.18$$ m/s2 3 $$0.2$$ m/s2 4 ​​​​​​$$0.1$$ m/s2
Subtopic:  Circular Motion |
53%
From NCERT
NEET - 2016
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A particle of mass 10g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration, if the kinetic energy of the particle becomes equal to 8x10-4 J by the end of the second revolution after the beginning of the motion?

(1) 0.15 m/s2

(2) 0.18 m/s2

(3) 0.2 m/s2

(4) 0.1 m/s2

Subtopic:  Circular Motion |
From NCERT
NEET - 2016
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A particle moves so that its position vector is given by $$r=\cos \omega t \hat{x}+\sin \omega t \hat{y}$$ where $$\omega$$ is a constant.  Based on the information given, which of the following is true?

 1 Velocity and acceleration, both are parallel to r. 2 Velocity is perpendicular to r and acceleration is directed towards the origin. 3 Velocity is not perpendicular to r and acceleration is directed away from the origin. 4 Velocity and acceleration, both are perpendicular to r.
Subtopic:  Acceleration |
70%
From NCERT
NEET - 2016
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Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time ${t}_{1}$. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time ${t}_{2}$. The time taken by her to walk up on the moving escalator will be

(1)$\frac{{t}_{1}-{t}_{2}}{2}$

(2)$\frac{{t}_{1}{t}_{2}}{{t}_{2}-{t}_{1}}$

(3) $\frac{{t}_{1}{t}_{2}}{{t}_{2}+{t}_{1}}$

(4) ${t}_{1}-{t}_{2}$

Subtopic:  Relative Motion |
76%
From NCERT
NEET - 2017
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