The velocity $(v)$ of a particle moving along $x$-axis varies with its position $x$ as shown in figure. The acceleration $(a)$ of particle varies with position $(x)$ as

212924-q

  • A

    $a^2=x+3$

  • B

    $a=2 x^2+4$

  • C

    $2 a=3 x+5$

  • D

    $a=4 x-8$

Similar Questions

A particle is moving in a straight line with initial velocity and uniform acceleration $a$. If the sum of the distance travelled in $t^{\text {th }}$ and $( t +1)^{ th }$ seconds is $100 cm$, then its velocity after $t$ seconds, in $.........cm / s$, is

Acceleration-time graph for a particle is given in figure. If it starts motion at $t=0$, distance travelled in $3 \,s$ will be ........... $m$

If $v = x^2 -5x + 4$, find the acceleration of particle when velocity of the particle is zero

A target is made of two plates, one of wood and the other of iron. The thickness of the wooden plate is $4\,cm$ and that of iron plate is $2\,cm$. A bullet fired goes through the wood first and then penetrates $1\,cm$ into iron. A similar bullet fired with the same velocity from opposite direction goes through iron first and then penetrates $2\,cm$ into wood. If $a_1$ and $a_2$ be the retardations offered to the bullet by wood and iron plates respectively, then

The acceleration time graph of a particle moving along a straight line is shown. At what time particle acquires its initial velocity........$s$