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(Solved): using basic differentiation formulas I need help with question 3.  3. If a ball is given a push ...



using basic differentiation formulas I need help with question 3. 

3. If a ball is given a push so that it has an initial velocity of \( 5 \mathrm{~m} / \mathrm{s} \) rolling down a certain in
3. If a ball is given a push so that it has an initial velocity of \( 5 \mathrm{~m} / \mathrm{s} \) rolling down a certain inclined plane, then the distance it has rolled after \( t \) seconds is \( s(t)=5 t+3 t^{2} \) (a) Find the velocity after \( 2 \mathrm{~s} \). (b) How long does it take for the velocity to reach \( 35 \mathrm{~m} / \mathrm{s} \) ?


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Solution:- Distance rolled is given by s(t)
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