For the acceleration-time $(a-t)$ graph shown in the figure, the change in velocity of the particle from $t=0$ to $t=6 \, s$ is ........ $m/s$.

The graph of position $x$ versus time $t$ represents the motion of a particle. The curve is a parabola opening upwards. If the equation of motion is given by $x = a + bt - ct^2$ where $b$ and $c$ are positive constants,which of the following expressions best describes the acceleration $a_{acc}$ of the particle?

What is acceleration? What is its direction,and state its $SI$ unit.

Will the acceleration increase or decrease with an increase in velocity?

$A$ particle is moving in a straight line such that its velocity is increasing at $5\,m/s$ per meter. The acceleration of the particle is .......... $m/s^2$ at a point where its velocity is $20\,m/s$.

If $v$ is the velocity of a body moving along the $x$-axis,then the acceleration of the body is .........