The distance-time graphs of a particle at time 𝑡 makes angle 45° with the time axis. After two seconds, it makes an angle 60° with the time axis. What is the average acceleration of the particle?

Question : The distance-time graphs of a particle at time 𝑡 makes angle 45° with the time axis. After two seconds, it makes an angle 60° with the time axis. What is the average acceleration of the particle?

(A) 1/2

(B) \dfrac{\sqrt{3}}{2}

(C) \dfrac{\left( \sqrt{3}-1\right) }{2}

(D) \dfrac{\left( \sqrt{3}+1\right) }{2}

Answer : option (C)

Solution :

The distance-time graphs of a particle at time 𝑡 makes angle 45° with the time axis. After two seconds, it makes an angle 60° with the time axis. What is the average acceleration of the particle?
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