The acceleration-time graph for a body is shown in the graph. Which of the following graphs would probably represent velocity of the body plotted against time:-

- A
- B
- C
- D

Which of the following statements are true for a moving body?

A bullet moving with a velocity of $100\, m/s$ can just penetrate two planks of equal thickness. The number of such planks penetrated by the same bullet, when the velocity is doubled, will be

Find the acceleration of particle at $x = 5\,m$ with the help of graph. where $v-$ velocity and $x-$ displacement

A particle moves in a straight line so that its displacement $x$ at any time $t$ is given by $x^2=1+t^2$. Its acceleration at any time $\mathrm{t}$ is $\mathrm{x}^{-\mathrm{n}}$ where $\mathrm{n}=$ . . . . .

- [JEE MAIN 2024]

The velocity of a particle moving in the positive direction of $x$-axis varies as $v=5 \sqrt{x}$. Assuming that at $t=0$, particle was at $x=0$. What is the acceleration of the particle $.........m/s^2$