1
NEET 2017
+4
-1
Preeti reached the metro station and found that the escalator was not working. She walked up the sationary escalator in time t1. On another days, if she remains stationary on the 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
A
$${{{t_1}{t_2}} \over {{t_2} - {t_1}}}$$
B
$${{{t_1}{t_2}} \over {{t_2} + {t_1}}}$$
C
$${{t_1} - {t_2}}$$
D
$${{{t_1} + {t_2}} \over 2}$$
2
NEET 2016 Phase 2
+4
-1
Two cars P and Q start from a point at the same time in a straight line and their positions are represented by
xP(t) = (at + bt2) and xQ(t) = (ft $$-$$ t2).

At what time do the cars have the same velocity ?
A
$${{a - f} \over {1 + b}}$$
B
$${{a + f} \over {2\left( {b - 1} \right)}}$$
C
$${{a + f} \over {2\left( {1 + b} \right)}}$$
D
$${{f - a} \over {2\left( {1 + b} \right)}}$$
3
NEET 2016 Phase 1
+4
-1
If the velocity of a particle is v = At + Bt2, where A and B are constants, then the distance travelled by it between 1 s and 2 s is
A
$${3 \over 2}A + {7 \over 3}B$$
B
$${A \over 2} + {B \over 3}$$
C
$${3 \over 2}A + 4B$$
D
$$3A + 7B$$
4
AIPMT 2015 Cancelled Paper
+4
-1
A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to $$v\left( x \right) = \beta {x^{ - 2n}}$$, where $$\beta$$ and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by
A
$$- 2{\beta ^2}{x^{ - 2n + 1}}$$
B
$$- 2n{\beta ^2}{e^{ - 4n + 1}}$$
C
$$- 2n{\beta ^2}{x^{ - 2n - 1}}$$
D
$$- 2n{\beta ^2}{x^{ - 4n - 1}}$$
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