The following displacement-time graph shows the positions of a body at different times. Calculate the velocity of the body as it moves from: $(i) A-B, (ii) B-C, (iii) C-D$.
(N/A) Velocity is determined by the slope of the displacement-time graph,where $V = \frac{\Delta \text{displacement}}{\Delta \text{time}}$.
$(i)$ For segment $A-B$: The displacement changes from $0 \ m$ to $3 \ m$ in the time interval from $2 \ s$ to $5 \ s$.
$V_{AB} = \frac{3 - 0}{5 - 2} = \frac{3}{3} = 1 \ m \ s^{-1}$.
$(ii)$ For segment $B-C$: The displacement remains constant at $3 \ m$ from $5 \ s$ to $7 \ s$.
$V_{BC} = \frac{3 - 3}{7 - 5} = \frac{0}{2} = 0 \ m \ s^{-1}$.
$(iii)$ For segment $C-D$: The displacement changes from $3 \ m$ to $0 \ m$ in the time interval from $7 \ s$ to $10 \ s$.
$V_{CD} = \frac{0 - 3}{10 - 7} = \frac{-3}{3} = -1 \ m \ s^{-1}$.
$(i)$ For segment $A-B$: The displacement changes from $0 \ m$ to $3 \ m$ in the time interval from $2 \ s$ to $5 \ s$.
$V_{AB} = \frac{3 - 0}{5 - 2} = \frac{3}{3} = 1 \ m \ s^{-1}$.
$(ii)$ For segment $B-C$: The displacement remains constant at $3 \ m$ from $5 \ s$ to $7 \ s$.
$V_{BC} = \frac{3 - 3}{7 - 5} = \frac{0}{2} = 0 \ m \ s^{-1}$.
$(iii)$ For segment $C-D$: The displacement changes from $3 \ m$ to $0 \ m$ in the time interval from $7 \ s$ to $10 \ s$.
$V_{CD} = \frac{0 - 3}{10 - 7} = \frac{-3}{3} = -1 \ m \ s^{-1}$.
Explore More
Similar Questions
The velocity$-$time graph of a truck is plotted below.
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating?
$(c)$ Calculate the magnitude of average velocity of the truck.
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating?
$(c)$ Calculate the magnitude of average velocity of the truck.
Medium
View SolutionStudy the speed-time graph of a body given below and answer the following questions:
$(i)$ What type of motion is represented by $OA$,$AB$ and $BC$?
(ii) Find positive and negative accelerations of the body.
(iii) Find the distance travelled by the body from $A$ to $B$.
$(i)$ What type of motion is represented by $OA$,$AB$ and $BC$?
(ii) Find positive and negative accelerations of the body.
(iii) Find the distance travelled by the body from $A$ to $B$.
Medium
View Solution$A$ driver of a car travelling at $52\, km\, h^{-1}$ applies the brakes and accelerates uniformly in the opposite direction. The car stops in $5\, s$. Another driver going at $3\, km\, h^{-1}$ in another car applies his brakes slowly and stops in $10\, s$. On the same graph paper,plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied?
Difficult
View SolutionWhat type of motion is represented by the following graphs?
Medium
View SolutionName the physical quantities denoted by:
$(i)$ The slope of the distance$-$time graph.
$(ii)$ The area under a velocity$-$time graph.
$(iii)$ The slope of a velocity$-$time graph.
$(i)$ The slope of the distance$-$time graph.
$(ii)$ The area under a velocity$-$time graph.
$(iii)$ The slope of a velocity$-$time graph.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo