A particle starts from rest. Its acceleration at time \( \mathrm{t}=0 \) is \( 5 \mathrm{~m} / \...

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A particle starts from rest. Its acceleration at time \( \mathrm{t}=0 \) is \( 5 \mathrm{~m} / \mathrm{s}^{2} \) which varies with time as shown in the figure. The maximum speed of the particle will be :
(1) \( 7.5 \mathrm{~m} / \mathrm{s} \)
(2) \( 15 \mathrm{~m} / \mathrm{s} \)
(3) \( 30 \mathrm{~m} / \mathrm{s} \)
(4) \( 37.5 \mathrm{~m} / \mathrm{s} \)
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