Question

Velocity-time plot of two particles make angles of 60º and 30º with the axis on which time is plotted. What is the ratio of their acceleration?

Answer 1

Acceleration is given by the slope of velocity-time graph of an object.

Ratio of Acceleration = \(\frac{Acceleration\, of\, Partile\, I}{Acceleration \,of\, Partile\, II}\)

\(\frac{tan\,60^o}{tan \,30^o}=\frac{\sqrt 3}{\frac{1}{\sqrt 3}}\) = 3