A body is moving in a circle with a speed of 1m/s. This speed increases at a constant rate of 2m/s every second. Assume that the radius of the circle described is 25m. The total acceleration of the body after 2s is
A
2m/s2
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B
25m/s2
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C
√5m/s2
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D
√7m/s2
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Solution
The correct option is C√5m/s2 Let the tangential acceleration be at and centripetal acceleration be ac at=2m/s2 Then, velocity after 2s is v=u+att=1+2×2=5m/s
Centripetal acceleration at t=2s is ac=v2r=5225=1m/s2