Question

the ratio of velocity of two objects A and B is 1:3 . If the postion -time graph if object A is inclined to time axis at 30' then the postion time graph of object B is inclined to time axis at

Answer 1

Let the velocity of A be x m/s ....
=> velocity of B = 3x (using given ratio )
Velocity is the slope of position-time graph ...
=> velocity of A = tan(30°) = 1/✓3 = x ...
So.. the velocity of B = 3x = 3/✓3 = ✓3
tan(©) = ✓3 ( © is the inclination of position-time graph of B )
=> © = 60° or π/3 ....
Hence , the position time graph of object B is inclined to time axis at 60° ....