Question

The position-time graphs of two cars A and B are straight lines making angles 30° and 60° with the time axis
respectively. The ratio of velocities of A and B is
(1) 1:ß
(2) 1:3
(3) √3:1
(4) 3 1​

Answer 1

Answer:

2) 1:3

Explanation:

Let us know a little about velocity

Velocity = The rate of change of displacement with respect to time is known as velocity . It is denoted by V and is equal to dx/dt or Δx/Δt.

where x = displacement and t = time

and d or Δ is the change in corresponding measurement.

using position time graph ,

we can say ,

slope = velocity = dx/dt = tan Φ

where Φ is the angle made with time axis

From the give question ,

Velocity of car A = dx/dt =tan 30°= 1/√3 units

Velocity of car B = dx/dt = tan 60° =  √3  units

So , ratio of velocities of A and B is (1/√3):√3

= 1:3