The graph below shows the velocity versus time graph for a body. Which of the following graphs represents the corresponding acceleration $v/s$ time graph?

$A$ body starts from rest and travels a distance $S$ with uniform acceleration,then moves uniformly a distance $2S$ and finally comes to rest after moving further $3S$ under uniform retardation. The ratio of the average velocity to maximum velocity is

$A$ lift is going up. The variation in the velocity of the lift is given in the graph. What is the height to which the lift takes the passengers? (in $m$)

From the $v-t$ graph,the

The position $x$ of a particle at any time $t$ is given by $x(t) = 4t^3 - 3t^2 + 2$. The acceleration and velocity of the particle at $t = 2 \, s$ are respectively:

The displacement $x$ versus time graph is shown below. Analyze the following statements:
$(A)$ The average velocity during $0$ to $3\ s$ is $10\ m/s$.
$(B)$ The average velocity during $3$ to $5\ s$ is $0\ m/s$.
$(C)$ The instantaneous velocity at $t = 2\ s$ is $5\ m/s$.
$(D)$ The average velocity during $5$ to $7\ s$ and instantaneous velocity at $t = 6.5\ s$ are equal.
$(E)$ The average velocity from $t = 0$ to $t = 9\ s$ is zero.
Choose the correct answer from the options given below.