The graph given below is the distance-time graph of an object.
$(i)$ Find the speed of the object during the first four seconds of its journey.
(ii) How long was it stationary?
(iii) Does it represent a real situation? Justify your answer.
$(i)$ Find the speed of the object during the first four seconds of its journey.
(ii) How long was it stationary?
(iii) Does it represent a real situation? Justify your answer.
(N/A) $(i)$ The segment $OP$ indicates uniform speed.
Speed $v = \frac{\text{Distance}}{\text{Time}} = \frac{75 \ m - 0 \ m}{4 \ s - 0 \ s} = \frac{75}{4} = 18.75 \ m \ s^{-1}$.
(ii) The segment $PQ$ is parallel to the time axis,which indicates that the object is stationary. The duration is from $t = 4 \ s$ to $t = 14 \ s$,so the object was stationary for $14 - 4 = 10 \ s$.
(iii) The segment $QR$ represents a situation where the distance decreases as time increases,which is physically impossible for a single object moving in one dimension. Thus,this does not represent a real situation.
Speed $v = \frac{\text{Distance}}{\text{Time}} = \frac{75 \ m - 0 \ m}{4 \ s - 0 \ s} = \frac{75}{4} = 18.75 \ m \ s^{-1}$.
(ii) The segment $PQ$ is parallel to the time axis,which indicates that the object is stationary. The duration is from $t = 4 \ s$ to $t = 14 \ s$,so the object was stationary for $14 - 4 = 10 \ s$.
(iii) The segment $QR$ represents a situation where the distance decreases as time increases,which is physically impossible for a single object moving in one dimension. Thus,this does not represent a real situation.
Explore More
Similar Questions
The distance-time graph of two trains is given below. The trains start simultaneously in the same direction.
$(i)$ How much ahead of $A$ is $B$ when the motion starts?
$(ii)$ What is the speed of $B$?
$(iii)$ When and where will $A$ catch $B$?
$(iv)$ What is the difference between the speeds of $A$ and $B$?
$(v)$ Is the speed of either train uniform or non-uniform? Justify your answer.
$(i)$ How much ahead of $A$ is $B$ when the motion starts?
$(ii)$ What is the speed of $B$?
$(iii)$ When and where will $A$ catch $B$?
$(iv)$ What is the difference between the speeds of $A$ and $B$?
$(v)$ Is the speed of either train uniform or non-uniform? Justify your answer.
Medium
View SolutionThe 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 SolutionMention some uses of velocity-time graphs.
Medium
View SolutionStudy the given velocity-time graph and answer the following questions:
$(i)$ Which part of the graph shows accelerated motion?
$(ii)$ Which part of the graph shows retarded motion?
$(iii)$ Calculate the distance travelled by the body in the first $4 \ s$ of the journey graphically.
$(i)$ Which part of the graph shows accelerated motion?
$(ii)$ Which part of the graph shows retarded motion?
$(iii)$ Calculate the distance travelled by the body in the first $4 \ s$ of the journey graphically.
Medium
View SolutionWhat do you understand by the displacement-time graph? Draw a displacement-time graph for a girl going to school with uniform velocity. How can we calculate the uniform velocity from it?
Medium
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