A vehicle covers 2 km in 10 minutes and then takes 6 minutes to cover the next 3 km. Which of the following graphs correctly depicts the motion of the vehicle?
Line AB denotes the motion for the first 2 km, and line BC represents the motion for the next 3 km.

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Solution

The correct option is D
We know that distance travelled per unit time is known as speed.
The speed for the first 2 km will be
$v_{1}$ = $\frac{2 k m}{10 m i n}$ = $0.2 k m / m i n$

The speed for the next 3 km
$v_{2}$ = $\frac{3 k m}{6 m i n}$ = $0.5 k m / m i n$

The higher the speed, the steeper the graph would be. Since the speed for the last 3 km is higher than the speed for the first 2 km, line BC will be steeper than line AB. Therefore, option D is correct.

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A vehicle covers 2 km in 10 minutes and then takes 6 minutes to cover the next 3 km. Which of the following graphs correctly depicts the motion of the vehicle? Line AB denotes the motion for the first 2 km, and line BC represents the motion for the next 3 km.

A vehicle covers 2 km in 10 minutes and then takes 6 minutes to cover the next 3 km. Which of the following graphs correctly depicts the motion of the vehicle?
Line AB denotes the motion for the first 2 km, and line BC represents the motion for the next 3 km.