Question

The velocity-time graph of a train traveling between two stations is plotted below. Find the train’s acceleration in each of the time intervals of OX, XZ and ZY respectively.

• A. -2, 1, 4
• B. 2, 1, -4
• C. -2, 0, 4
• D. 2, 0, -4

Answer 1

The correct option is D 2, 0, -4

Acceleration in Velocity Time graph given by slope.

Slope = $\frac{\text{change in velocity}}{\text{change in time}}$

Slope for OX = $\frac{12-0}{6-0}$
= $\frac{12}{6}$
= 2

Slope for XZ = $\frac{12–12}{18–6}$
= $\frac{0}{6}$
= 0

Slope for ZY = $\frac{0–12}{21–18}$
= $\frac{-12}{3}$
= -4

Hence velocities = 2 , 0 , -4 ${\text{ms}}^{-1}$ respectively