Answer

Verified

345.3k+ views

**Hint**: Here the question seems to be a physics question but it is a mathematics question. The question is related to the graph concept. By reading the question we have to write the equation which contains the variables x and y. The x represents the distance and y represents the time. Hence by analysing the graph we can determine the solution for the given question.

**Complete step by step solution:**

A graph of a function is a set of ordered pairs and it is represented as \[y = f(x)\] , where x and f(x) are real numbers. These pairs are in the cartesian form and the graph is the two-dimensional graph.

Now let us consider the question, in the question they have mentioned the words speed, distance and time.

In a physics we have a formula which is related to these parameters, that is given by

Distance = speed \[ \times \] time. --- (1)

Let we consider the distance as x and the time as y.

From the question, we know the value of speed. The speed = 60 kmph.

Substituting the values in the equation (1) we have

\[ \Rightarrow x = 60 \times y\]

This can be written as

\[ \Rightarrow x = 60y\]

Now here we give the values for the y and determine the value of x.

So we have

x | 0 | 60 | 120 |

y | 0 | 1 | 2 |

Now we will plot a graph for the above points

Now we have to determine the distance travelled by Aarushi in \[2\dfrac{1}{2}\] hour and \[\dfrac{1}{2}\] hour. From the graph we will determine this.

On the y axis we will mark the time and take a dotted line, the dotted line will touch the graph line of the function. From that point we draw a perpendicular line to the x axis. Hence we determine the distance.

For \[2\dfrac{1}{2}\] hour, we mark 2.5 on y axis and take a dotted line, the dotted line will touch the graph line of the function. From that point we draw a perpendicular line to the x axis

Therefore the distance travelled by Aarushi in \[2\dfrac{1}{2}\] hour is 150 km.

For \[\dfrac{1}{2}\] hour, we mark 0.5 on y axis and take a dotted line, the dotted line will touch the graph line of the function. From that point we draw a perpendicular line to the x axis

Therefore the distance travelled by Aarushi in \[\dfrac{1}{2}\] hour is 30 km.

**Note**: The graph is plotted x-axis versus y axis. The graph is two dimensional. By the equation of a graph, we can plot the graph by assuming the value of x. We can’t assume the value of y. because the value of y depends on the value of x. Hence, we have plotted the graph. If we go wrong in drawing a straight line, then our answer will be wrong.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How many crores make 10 million class 7 maths CBSE

The 3 + 3 times 3 3 + 3 What is the right answer and class 8 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE