A body moves in a circle of radius 1m. Its speed is given by v=2t2. FInd the net acceleration at t=2 seconds.
A
√1616m/s2
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B
√3240m/s2
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C
√3814m/s2
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D
√4160m/s2
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Solution
The correct option is D√4160m/s2 Let the tangential acceleration be at
and centripetal acceleration be ac at=dvdt=4t ∴at|t=2sec=4(2)=8m/s2 ac=v2R ⇒ac|t=2sec=[2(2)2]21=82m/s2 =64m/s2 ∴anet=√a2c+a2t=√642+82 =√4160m/s2