At a metro station, a girl walks up a stationary escalator in time $t_1$. If she remains stationary on the escalator, then the escalator take her up in time $t_2$. The time taken by her to walk up on the moving escalator will be
$(t_1 + t_2 )/2$
$t_1 t_2 / (t_2 - t_1)$
$t_1 t_2 / (t_1 + t_2)$
$t_1 - t_2$
The variation of quantity A with quantity B, plotted in figure. Describes the motion of a particle in a straight line.
Quantity B may represent time
Quantity A is velocity if motion is uniform
Quantity A is displacement if motion is uniform
Quantity A is velocity if motion is uniformly accelerated
A graph of x versus t is shown in figure. Choose correct alternatives given below
The particle was released from rest at t = 0
At B, the acceleration a > 0
Average velocity for the motion between A and D is positive
The speed at D exceeds that at Ε
For the one-dimensional motion, described by $x=t- \text{sin}t$
$x(t)>0$ for all $t>0$
$v(t)>0$ for all $t>0$
$a(t)>0$ for all $t>0$
$v(t)$ lies between $0$ and $2$
A spring with one end attached to a mass and the other to a rigid support is stretched and released.
Magnitude of acceleration, when just released is maximum
Magnitude of acceleration, when at equilibrium position, is maximum
Speed is maximum when mass is at equilibrium position
Magnitude of displacement is always maximum whenever speed is minimum