
Which car has the highest speed and which car has the lowest speed?

Answer
169.2k+ views
Hint: Recall the various graphs in kinematics and what the properties of the graphs are. Also recall what area under the curve and slope of each graph gives. Answer accordingly to the data given in graphs.
Formula used:
Slope $ = \dfrac{{\Delta y}}{{\Delta x}} = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$
Complete step by step solution:
The given graph is a $x - t$ graph. We know that the slope of $x - t$ graph gives the speed. Thus the car whose slope is maximum has the maximum speed. Hence for these we need to find the slope in each case. We know,
Slope $ = \dfrac{{\Delta y}}{{\Delta x}} = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$
Thus,
Slope of A $ = \dfrac{{14 - 6}}{{1.6 - 0}} = \dfrac{8}{{1.6}} = 5km/hr$
Slope of B $ = \dfrac{{14 - 0}}{{1.4 - 0}} = \dfrac{{14}}{{1.4}} = 10km/hr$
Slope of C $ = \dfrac{{14 - 2}}{{1.0 - 0}} = \dfrac{{12}}{{1.0}} = 12km/hr$
After taking out the slopes, we infer that C has the maximum slope and A has the minimum slope.
Thus, C has the maximum speed and A has the minimum speed.
Additional Information:
There are three main motion graphs that tend to be studied in kinematics: displacement-time graphs, velocity-time graphs, and acceleration-time graphs. In all the three, time is present in the X-axis, while the others are present in Y-axis.
Following shows what does the slope and area of each graph corresponds to
Graphs are an easy way to study the nature of motion of a body. A curve in any of the graphs may not be a straight line; it can even be a curve.
Note: Do the calculations properly. Also do not make mistakes in interpreting the graph. Keep in mind the properties of all the graphs in kinematics within the scope of syllabus.
Formula used:
Slope $ = \dfrac{{\Delta y}}{{\Delta x}} = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$
Complete step by step solution:
The given graph is a $x - t$ graph. We know that the slope of $x - t$ graph gives the speed. Thus the car whose slope is maximum has the maximum speed. Hence for these we need to find the slope in each case. We know,
Slope $ = \dfrac{{\Delta y}}{{\Delta x}} = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$
Thus,
Slope of A $ = \dfrac{{14 - 6}}{{1.6 - 0}} = \dfrac{8}{{1.6}} = 5km/hr$
Slope of B $ = \dfrac{{14 - 0}}{{1.4 - 0}} = \dfrac{{14}}{{1.4}} = 10km/hr$
Slope of C $ = \dfrac{{14 - 2}}{{1.0 - 0}} = \dfrac{{12}}{{1.0}} = 12km/hr$
After taking out the slopes, we infer that C has the maximum slope and A has the minimum slope.
Thus, C has the maximum speed and A has the minimum speed.
Additional Information:
There are three main motion graphs that tend to be studied in kinematics: displacement-time graphs, velocity-time graphs, and acceleration-time graphs. In all the three, time is present in the X-axis, while the others are present in Y-axis.
Following shows what does the slope and area of each graph corresponds to
Graph | Slope | Area |
Displacement-time | Velocity | --- |
Velocity-time | Acceleration | Displacement |
Acceleration-time | --- | Velocity |
Graphs are an easy way to study the nature of motion of a body. A curve in any of the graphs may not be a straight line; it can even be a curve.
Note: Do the calculations properly. Also do not make mistakes in interpreting the graph. Keep in mind the properties of all the graphs in kinematics within the scope of syllabus.
Recently Updated Pages
Preparation of Hydrogen Gas: Methods & Uses Explained

Polymers in Chemistry: Definition, Types, Examples & Uses

P Block Elements: Definition, Groups, Trends & Properties for JEE/NEET

Order of Reaction in Chemistry: Definition, Formula & Examples

Hydrocarbons: Types, Formula, Structure & Examples Explained

Classification of Elements and Periodicity in Properties | Trends, Notes & FAQs

Trending doubts
Uniform Acceleration

Atomic Structure - Electrons, Protons, Neutrons and Atomic Models

Instantaneous Velocity - Formula based Examples for JEE

Ideal and Non-Ideal Solutions Raoult's Law - JEE

Learn About Angle Of Deviation In Prism: JEE Main Physics 2025

JEE Main 2025: Conversion of Galvanometer Into Ammeter And Voltmeter in Physics

Other Pages
Charging and Discharging of Capacitor

Class 9 Physics MCQs: Chapter-wise Questions, Answers & PDFs

Current Loop as Magnetic Dipole and Its Derivation for JEE

The resultant of vec A and vec B is perpendicular to class 11 physics JEE_Main

NCERT Solutions for Class 11 Physics Chapter 8 Mechanical Properties of Solids

Work Energy and Power Class 11 Notes: CBSE Physics Chapter 5
