Question

Which of the following statements is correct regarding the distance-time graph of a vehicle shown below?

• A. The speed of the vehicle from 'o' to 'a' is zero.
• B. The speed of the vehicle from 'a' to 'b' is zero.
• C. The speed of the vehicle from 'b' to 'c' is zero.
• D. The speed of the vehicle from 'b' to 'c' is constant.

Answer 1

The correct option is B The speed of the vehicle from 'a' to 'b' is zero.

• For 'o' to 'a, the vehicle covers equal distances in equal intervals of time. Therefore, the vehicle experiences a uniform motion in this range.
• From 'a' to 'b', there is no change in the distance even after an increase in time. Thus, the vehicle was at rest from 'a' to b’.
• From 'b' to 'c', the vehicle covers unequal distances in equal intervals of time. Therefore, the motion of the vehicle is a non-uniform motion from 'b' to 'c'.

Now, we can say that from ‘a’ to ‘b’ the distance travelled in each time interval is zero. i.e. the vehicle is at the rest.

$Distance=0$

$Speed=\frac{Distance}{Time}=0$

Therefore, the correct statement is “The speed of the vehicle from 'a' to 'b' is zero.”