The velocity $v$ of a particle moving along $x$-axis varies with its position $(x)$ as $v=\alpha \sqrt{x}$; where $\alpha$ is a constant. Which of the following graph represents the variation of its acceleration (a) with time $(t)$ ?

  • A
    212923-a
  • B
    212923-b
  • C
    212923-c
  • D
    212923-d

Similar Questions

A car moving along a straight highway with speed of $126 \;\mathrm{km} h^{-1}$ is brought to a stop within a distance of $200\; \mathrm{m}$. how long(in $seconds$) does it take for the car to stop?

A particle starts with an initial velocity of $10.0\,ms ^{-1}$ along $x$-direction and accelerates uniformly at the rate of $2.0\,ms ^{-2}$. The time taken by the particle to reach the velocity of $60.0\,ms ^{-1}$ is $.......\,s$

  • [JEE MAIN 2023]

What is stopping distance ?

If a car at rest accelerates uniformly to a speed of $144 \,km/h$ in $20 \,s$. Then it covers a distance of........$m$

  • [AIPMT 1997]

A bullet from a gun is fired on a rectangular wooden block with velocity $u$.When bullet travels $24\,cm$ through the block along its length horizontally, velocity of bullet becomes $\frac{u}{3}$. Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is $........\,cm$

  • [NEET 2023]