| The distance time graph of a particle at time 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? |
A) \[\sqrt{3}-1\]
B) \[\sqrt{3}+1\]
C) \[\sqrt{3}\]
D) 1
Correct Answer: A
Solution :
Velocity at time t is \[tan\text{ }45{}^\circ =1\]. Velocity at time \[\left( t=1 \right)\] is \[tan\text{ }60{}^\circ =\sqrt{3}\]. Acceleration is change in velocity in one second = \[\sqrt{3}-1.\]
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