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The distance time graph of a particle at time t makes angles $45^{\circ}$ with the time axis. After one second, it makes angle $60^{\circ}$ with the time axis. What is the acceleration of the particle?
Explanation
Velocity at time t is $45^{\circ} = 1$. Velocity at time $(t = 1)$ is $\tan 60^{\circ} = \sqrt{3}$. Acceleration is change in velocity in one $\text{second} = \sqrt{3} - 1$.