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 upon the moving escalator will be:
1. $$\frac{t_1t_2}{t_2-t_1}$$
2. $$\frac{t_1t_2}{t_2+t_1}$$
3. $$t_1-t_2$$
4. $$\frac{t_1+t_2}{2}$$

Subtopic: Â Relative Motion in One Dimension |
Â 71%
From NCERT
NEET - 2017
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Two cars P and Q start from a point at the same time in a straight line and their positions are represented by ${x}_{p}\left(t\right)=at+b{t}^{2}$ and ${x}_{Q}\left(t\right)=ft-{t}^{2}$. At what time do the cars have the same velocity?

(1) $\frac{a-f}{1+b}$

(2)$\frac{a+f}{2\left(b-1\right)}$

(3) $\frac{a+f}{2\left(1+b\right)}$

(4) $\frac{f-a}{2\left(1+b\right)}$

Subtopic: Â Instantaneous Speed & Instantaneous Velocity |
Â 76%
From NCERT
NEET - 2016
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NEET 2023 - Target Batch - Aryan Raj Singh

If the velocity of a particle is $\mathrm{v}=\mathrm{At}+{\mathrm{Bt}}^{2}$, where A and B are constants, then the distance travelled by it between 1s and 2s is?

$1.$ $3\mathrm{A}+7\mathrm{B}$
$2.$ $\frac{3\mathrm{A}}{2}+\frac{7\mathrm{B}}{3}$
$3.$ $\frac{\mathrm{A}}{2}+\frac{\mathrm{B}}{3}$
$4.$ $\frac{\mathrm{A}}{3}+\frac{\mathrm{B}}{2}$

Subtopic: Â Distance & Displacement |
Â 82%
From NCERT
NEET - 2016
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NEET 2023 - Target Batch - Aryan Raj Singh

If the velocity of a particle is $$v=At+Bt^{2},$$ where $$A$$ and $$B$$ are constants, then the distance travelled by it between $$1~\text{s}$$ and $$2~\text{s}$$ is:

 1 $$3A+7B$$ 2 $$\frac{3}{2}A+\frac{7}{3}B$$ 3 $$\frac{A}{2}+\frac{B}{3}$$ 4 $$\frac{3A}{2}+4B$$
Subtopic: Â Instantaneous Speed & Instantaneous Velocity |
Â 88%
From NCERT
NEET - 2016
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