The velocity-displacement graph describing the motion of a bicycle is shown in the figure. The acceleration-displacement graph of the bicycle's motion is best described by:

The position-time graph for a particle is shown in the figure. Starting from $t=0$,at what time $t$ (in seconds) is the average velocity zero?

The acceleration-time graph of a body is shown below. The most probable velocity-time graph of the body is:

$A$ body moves with velocity $v = \ln x \, m/s$ where $x$ is its position. The net force acting on the body is zero at

Consider a car initially at rest,starts to move along a straight road first with acceleration $5 \ m \ s^{-2}$,then with uniform velocity and finally,decelerating at $5 \ m \ s^{-2}$,before coming to a stop. Total time taken from start to end is $t = 25 \ s$. If the average velocity during that time is $72 \ km \ hr^{-1}$,the car moved with uniform velocity for a time of: (in $s$)

Match Column-$I$ with Column-$II$ based on the distance-time $(d-t)$ graphs provided in the image.

$(1)$ Velocity decreases	$(a)$ Linear graph (constant slope)
$(2)$ Velocity increases	$(b)$ Concave up graph (increasing slope)
$(3)$ Velocity is constant	$(c)$ Concave down graph (decreasing slope)