The velocity of a particle is given by $v = 2t^2 - 8t + 15 \,ms^{-1}$. Find its instantaneous acceleration at $t = 5 \,s$. (in $\,ms^{-2}$)

  • A
    $18$
  • B
    $20$
  • C
    $5$
  • D
    $12$

Explore More

Similar Questions

$A$ particle starts from rest. Its acceleration $a$ versus time $t$ is shown in the figure. The maximum speed of the particle will be (in $m/s$)

What is retardation?

$A$ particle starts from rest. Its acceleration $(a)$ versus time $(t)$ graph is as shown in the figure. The maximum speed of the particle will be (in $m \ s^{-1}$)

The acceleration-time graph is given. If the initial velocity is $5\,m/s$,then the velocity after $2\,s$ is.......$m/s$.

$A$ particle has a velocity in the negative direction and a constant acceleration in the positive direction. Match the following columns:
Column $I$ Column $II$
$(A)$ Velocity-time graph $(p)$ Slope $\rightarrow$ negative
$(B)$ Acceleration-time graph $(q)$ Slope $\rightarrow$ positive
$(C)$ Displacement-time graph $(r)$ Slope $\rightarrow$ zero
$(s)$ $|\text{Slope}| \rightarrow$ increasing
$(t)$ $|\text{Slope}| \rightarrow$ decreasing
$(u)$ $|\text{Slope}| \rightarrow$ constant

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo