Question

A bus travels from point $A$ to point $B$. The bus starts out going slowly and then drives faster. Traffic is then at a total standstill due to an accident. The bus continues at a faster speed. The bus reaches point of $B$. Select from the following graphs, that could represent the bus’s distance from point $A$, as a function of time.
A. B. C.

D. E.

Answer 1

Hint: For this question analyze the conditions given in the question and plot and draw the lines according to different types of speed given in the questions for example: for the slower speeds mark an increasing line with a low slope and when it says for a higher speed draw a line with higher slope and for constant speed draw a parallel line to the x-axis.

Complete step by step answer:
It is given that the bus starts slowly in the starting so for that we will just plot the graph with a low slope line and then it is given that the bus goes faster so for that we will draw a line with a higher slope. Now it is given that due to traffic bus is at a total standstill that means it doesn’t move and is constant so we will plot a straight line parallel to the x-axis, again it moves at a faster speed so we will draw an increasing curve and after it reaches the final point we will draw a straight line to demonstrate the constant speed parallel to the x-axis.


So, the graph will look like:

Hence, option A is correct.
Note:
 Since there are no values therefore we assume the slopes and draw a comparative graph that means the faster speed will be marked as a steeper slope than that of the slower speed. Always use a scale while drawing graphs.