$(a)$ Differentiate acceleration from velocity.
$(b)$ Can a body have acceleration without change in magnitude of velocity? Explain with an example.
$(c)$ $A$ motor boat starting from rest on a lake accelerates in a straight line at a constant rate of $3 \, m s^{-2}$ for $8 \, s$. How far does the boat travel during this time?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(C) Acceleration is the rate of change of velocity,whereas velocity is the rate of change of displacement.
$(b)$ Yes. In uniform circular motion,the magnitude of velocity (speed) remains constant,but the direction changes continuously. Since acceleration is a vector quantity,this change in direction results in centripetal acceleration.
$(c)$ Given: Initial velocity $u = 0 \, m s^{-1}$,acceleration $a = 3 \, m s^{-2}$,time $t = 8 \, s$.
Using the second equation of motion: $S = ut + \frac{1}{2}at^2$
$S = (0 \times 8) + \frac{1}{2} \times 3 \times (8)^2$
$S = 0 + \frac{1}{2} \times 3 \times 64$
$S = 3 \times 32 = 96 \, m$.
The boat travels $96 \, m$ during this time.

Explore More

Similar Questions

What determines the direction of motion of an object: velocity or acceleration?

Which of the following figures (Fig.) represents uniform motion of a moving object correctly?

Can a particle be accelerated
$(i)$ if its speed is constant?
$(ii)$ if its velocity is constant?

Starting from rest,a scooter acquires a velocity of $36 \, km/h$ in $10 \, s$ and then brakes are applied,taking $20 \, s$ to stop. Calculate the acceleration and the total distance travelled.

Draw the distance$-$time graph for the following situations:
$(a)$ When a body is stationary.
$(b)$ When a body is moving with a uniform speed.
$(c)$ When a body is moving with non$-$uniform speed.

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