Question

On the way from Chicago to New York, a car starts from rest, its speed increases within the first six hours, it slows down over the next 2 hours but it does not stop, again it increases the speed for five hours. Which of the following graphs best reflects this stated situation?

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Given, Car starts from rest, which means that speed of the car when it started is zero. Hence the graph will start from origin.

Let's discuss all the options one by one:

Option (a).

As given, the initial speed of the car should be zero, but here the initail speed of a car shown in this graph is not at zero. Hence this graph does not represent the stated scenario

Option (b).

Here, the initail speed of the car is zero, then it starts increasing, and it starts decreases and becomes zero, which is not the given scenario. ("it decreases for the next 2 hours but the car did not stop)

Option (c).

Here, the initial speed of the car is zero, then it starts increasing, and it starts decreasing, which is not the given scenario as the speed of the car again increases with time.

Option (d).

Here, the initial speed of the car is zero, then it starts increasing, then it starts decreases, and the speed of the car again increases with time.
Hence, This best represents the given scenario.