The displacement is given by $x = 2{t^2} + t + 5$, the acceleration at $t = 2\;s$ is.........$m/{s^2}$

  • A

    $4$

  • B

    $8$

  • C

    $10$

  • D

    $15$

Similar Questions

Position time graph of a particle moving along straight line is shown which is in the form of semicircle starting from $t=2$ to $t=8 \,s$. Select correct statement

The velocity- displacement graph of a particle is shown in figure.

$(a)$ Write the relation between $v$ and $x$.

$(b)$ Obtain the relation between acceleration and displacement and plot it.

Acceleration versus time graph of a body starting from rest is shown in the figure. The velocity versus time graph of the body is given by

Will the acceleration increase or decrease with increase in velocity ?

Velocity of a particle is in negative direction with constant acceleration in positive direction. Then, match the following columns.

Colum $I$ Colum $II$
$(A)$ Velocity-time graph $(p)$ Slope $\rightarrow$ negative
$(B)$ Acceleration-time graph $(q)$ Slope $\rightarrow$ positive
$(C)$ Displacement-time graph $(r)$ Slope $\rightarrow$ zero
  $(s)$ $\mid$ Slope $\mid \rightarrow$ increasing
  $(t)$ $\mid$ Slope $\mid$ $\rightarrow$ decreasing
  $(u)$ |Slope| $\rightarrow$ constant