A car accelerates from rest at a constant rate \( 36 \mathrm{~km} / \mathrm{h}^{2} \) for some t...

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A car accelerates from rest at a constant rate \( 36 \mathrm{~km} / \mathrm{h}^{2} \) for some time after which it retards at a constant rate \( 48 \mathrm{~km} \mathrm{~h}^{-2} \) to come to rest. If the total time elapsed is 1 hour, calculate
the maximum velocity attained by the car and
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