2026 · Q114
Velocity (m/s)-time (s) graph is plotted for the motion of two cars A and B for 10 s, when the cars are initially at rest and acquire final velocities as VA and VB, respectively. The respective straight lines of the graph make angles 30° and 60°, respectively with the x-axis (time). The difference in velocities VB and VA is
general-sciencephysics-mechanics
- A20/√3 m/s
- B2/√3 m/s
- C3 m/s
- D1 m/s
Explanation
Acceleration equals the slope: a_A = tan30°, a_B = tan60°. After 10 s from rest, V_A = 10·tan30° = 10/√3 and V_B = 10·tan60° = 10√3. The difference V_B − V_A = 10√3 − 10/√3 = 20/√3 m/s. Hence option A is correct.