(C) The velocity of the body is given by $v = 20 + 0.1t^2$.Acceleration $a$ is defined as the rate of change of velocity with respect to time,$a = \fr

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) The velocity of the body is given by $v = 20 + 0.1t^2$.Acceleration $a$ is defined as the rate of change of velocity with respect to time,$a = \frac{dv}{dt}$.$a = \frac{d}{dt}(20 + 0.1t^2) = 0 + 0.1 \times 2t = 0.2t$.Since the acceleration $a = 0.2t$ depends on time $t$,it is not constant.Therefore,the body is undergoing non-uniform acceleration.

Class 11 Physics Motion in Straight Line Acceleration and its graph

Easy

The velocity of a body depends on time according to the equation $v = 20 + 0.1t^2$. The body is undergoing

A
Uniform acceleration
B
Uniform retardation
C
Non-uniform acceleration
D
Zero acceleration

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Motion in Straight Line

Subtopic

Acceleration and its graph

Motion of a particle is given by the equation $s = (3t^3 + 7t^2 + 3t + 8) \ m$. The acceleration of the particle at $t = 1 \ s$ is: (in $m/s^2$)

MediumAP EAMCET 2020

View Solution

If the displacement ($s$ in metre) of a moving particle in terms of time ($t$ in second) is $s = t^3 - 6t^2 + 18t + 9$,then the minimum velocity attained by the particle is (in $m \ s^{-1}$)

MediumAP EAMCET 2025

View Solution

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

Easy

View Solution

For the acceleration-time $(a-t)$ graph shown in the figure, the change in velocity of the particle from $t=0$ to $t=6 \, s$ is ........ $m/s$.

Medium

View Solution

The correct position $(x)$ - time $(t)$ graph for a particle moving with negative acceleration is

MediumAP EAMCET 2022

View Solution

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

The velocity of a body depends on time according to the equation $v = 20 + 0.1t^2$. The body is undergoing

Similar Questions

Motion of a particle is given by the equation $s = (3t^3 + 7t^2 + 3t + 8) \ m$. The acceleration of the particle at $t = 1 \ s$ is: (in $m/s^2$)

If the displacement ($s$ in metre) of a moving particle in terms of time ($t$ in second) is $s = t^3 - 6t^2 + 18t + 9$,then the minimum velocity attained by the particle is (in $m \ s^{-1}$)

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

For the acceleration-time $(a-t)$ graph shown in the figure, the change in velocity of the particle from $t=0$ to $t=6 \, s$ is ........ $m/s$.

The correct position $(x)$ - time $(t)$ graph for a particle moving with negative acceleration is

Vedclass Test Series

Exam Paper Generator

Online Exam Module