Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t1. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t2. The time taken by her to walk up on the moving escalator will be 

(1)t1-t22

(2)t1t2t2-t1

(3) t1t2t2+t1

(4) t1-t2

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