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A particle moves in a circle of radius \( 20 \mathrm{~cm} \). Its linear speed is given by \( v=2 t \) where \( t \) is in seconds and \( v \) in \( \mathrm{m} \mathrm{s}^{-1} \). Then
(1) The radial acceleration at \( t=2 \mathrm{~s} \) is \( 80 \mathrm{~m} \mathrm{~s}^{-2} \).
(2) Tangential acceleration at \( t=2 \mathrm{~s} \) is \( 2 \mathrm{~m} \mathrm{~s}^{-2} \).
(3) Net acceleration at \( t=2 \mathrm{~s} \) is greater than \( 80 \mathrm{~m} \mathrm{~s}^{-2} \).
(4) Tangential acceleration remains constant in magnitude.
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