A) The car must move in circular path.
B) Acceleration of the car is never zero.
C) The mean speed of the car is\[\frac{\pi }{4}\,m/s.\]
D) The car makes a turn once during its motion.
Correct Answer: C
Solution :
Total distance covered is given by the area under the curve. \[\therefore \]Total distance covered \[=\frac{\pi \times {{1}^{2}}}{2}=\frac{\pi }{2}\,m.\] Total time taken = 2 sec. \[\therefore \]Total distance covered \[=\frac{\pi \times {{1}^{2}}}{2}=\frac{\pi }{2}\,m.\] Total time taken = 2 sec. \[\therefore \]mean speed \[=\frac{\pi /2}{2}=\frac{\pi }{4}m/s.\] Hence, the correction option is [c].
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