Acceleration

The velocity-time graph of the particle moving along a straight line is shown. The rate of acceleration and deceleration is constant and it is equal to $5 \mathrm{m} {\mathrm{s}}^{-2}$. If average velocity during the motion is $20 \mathrm{m} {\mathrm{s}}^{-1}$, then find the value of $t$

A body is moving with velocity  $30\frac{m}{s}$  towards east. After 10 seconds its velocity becomes  $40\frac{m}{s}$  towards north. The average acceleration of the body is

A particle is moving eastwards with a velocity of  $5\mathrm{m}{\mathrm{s}}^{-1}$. In $10 \mathrm{s}$, the velocity changes to  $5\mathrm{m}{\mathrm{s}}^{-1}$ northwards. The average acceleration in this time is

The velocity displacement graph of a particle moving along a straight line is -

The most suitable acceleration-displacement graph will be

A body starts from rest at time $t=0$, refer to the acceleration-time graph shown in the figure. The maximum velocity attained by the body will be

Acceleration time graph of a particle moving in a straight line is shown. Velocity of particle at $t=0$ is $5 \mathrm{m} {\mathrm{s}}^{-1}$. The velocity (in $\mathrm{m} {\mathrm{s}}^{-1}$ )of the particle at the end of fourth second is

Position - time curve of a particle is shown. Which is correct :-

The acceleration of the particle is :

Velocity $\left(v\right)$ of a particle varies with position $\left(x\right)$ according to $v\left(x\right)=2x+5x^2.$ The acceleration of the particle as a function of $x$ will be

The graph below shows the variation with time $t$ of the velocity $v$ of an object moving on a straight line.

Which of the graphs below best represents the variation with time $t$ of the acceleration $a$ of the object?

An object is moving along $x$-axis. If its position $x \left(t\right)$ (in meter) at any time $t$ (in $s$) is given by the following graph, then the object is at rest about

The velocity-time graph of a body moving in a straight line is given below. The displacement of the body in $10 \mathrm{s}$ is

A batsman hits a sixer and the ball touches the ground outside the cricket ground. Among the following graph, the one that describes the variation of the cricket ball's vertical velocity $\mathrm{v}$ with time between the time ${\mathrm{t}}_1$ as it hits the bat and time ${\mathrm{t}}_2$ when it touches the ground is

What is the acceleration of a particle whose velocity is given by $v={(180-16x)}^{\frac{1}{2} } \mathrm{m} {\mathrm{s}}^{-1}$?

A particle starts moving from position $x=5 \mathrm{m}$ with a constant velocity $v=2 \mathrm{m} {\mathrm{s}}^{-1}$. The position-time graph is represented by

Which of the following  best represents a velocity time graph corresponding to the position time graph shown ?

If the height can be expressed as $\mathrm{h}=(12{\mathrm{t}}^2+4\mathrm{t}) \mathrm{m}$, the value of $\mathrm{h}$after $\mathrm{t}=1 \mathrm{s}$ is

In projectile motion, the height of the object varies with respect to time.

The speed of a train increases at a constant rate $\alpha$ from zero to $v$ and then remains constant for an interval and finally decreases to zero at a constant rate $\beta$. The total distance travelled by the train is $l$. The time taken to complete the journey is $t$. Then, 

The figure shown the velocity $\left(v\right)$ of a particle plotted against time $\left(t\right)$.

An object moves with constant acceleration $a$. Which of the following expressions are also constant.