A car is moving along a circular path of radius 500m with a speed of 30m/s. If at some instant, its speed increases at the rate of 2m/s2, then at that instant, the magnitude of resultant acceleration will be
A
4.7m/s2
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B
3.8m/s2
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C
3m/s2
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D
2.7m/s2
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Solution
The correct option is D2.7m/s2 Let the tangential acceleration be at. And let the centripetal acceleration be ac. Centripetal acceleration, ac=v2r =(30)2500=1.8m/s2 ∴ Resultant acceleration at the instant a=√a2t+a2c =√(1.8)2+(2)2=2.7m/s2