Q. The distance-time graph of a particle at time $t$ makes angle 45${^\circ}$ with time axis. After 1s, it makes angle 60${^\circ}$ with time axis. What is the acceleration of the particle?

A) $\sqrt{3} - 1\ $unit
B) $\sqrt{3} + 1\ $unit
C) $\sqrt{3}\ $unit
D) $1\ $unit
Explanation

(a) The slope of distance-time graphs speed.
The change in velocity in 1 s
$= \tan{60{^\circ}} - \tan{45{^\circ}} = \sqrt{3} -$1
$\therefore$ Acceleration $= \frac{\mathrm{\Delta}v}{\mathrm{\Delta}t} = \frac{\sqrt{3} - 1}{1} = (\sqrt{3} - 1)$unit

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.