Two straight lines are drawn on the same displacement time graph make

1.	Two straight lines are drawn on the same displacement time graph make angles 30° and 60° with the time axis respectively in the figure. Which line represents greater velocity? What is the ratio of the velocity of line A to that of line B?
Answer» Velocity = Slope of x-t graph V_A = tan 30° = 1√3 V_B = tan 60° = Clearly, V_B > V_A. V_A/V_B = 1√3/√3 = 1/3

Two straight lines are drawn on the same displacement time graph make angles 30° and 60° with the time axis respectively in the figure. Which line represents greater velocity? What is the ratio of the velocity of line A to that of line B?

Answer»

Velocity = Slope of x-t graph

V_A = tan 30° = 1√3

V_B = tan 60° = Clearly, V_B > V_A.

V_A/V_B = 1√3/√3 = 1/3