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 |
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The x and y coordinates of the particle at any time are  and y= 10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t= 2sec is:

1.

2.

3.

4. 0

Subtopic:  Acceleration |
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In the given figure,  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 |
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A particle moves so that its position vector is given by  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 |
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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 |
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In the given figure, a = 15m /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 |
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A particle moves so that its position vector is given by , where $\mathrm{\omega }$ is a constant. Which of the following is true?
1. Velocity and acceleration both are parallel to $\stackrel{\to }{\mathrm{r}}$.
2. Velocity is perpendicular to $\stackrel{\to }{\mathrm{r}}$ and acceleration is directed towards to origin.
3. Velocity is parallel to $\stackrel{\to }{\mathrm{r}}$ and acceleration is directed away from the origin.
4. Velocity and acceleration both are perpendicular to $\stackrel{\to }{\mathrm{r}}$.
Subtopic:  Circular Motion |
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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 x 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 |
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