Asked by Cam

How do I figure out how long it takes two runners to have the same momentum if I am given a, m, and Vi for both runners?

Runner A= 85kg, 2ms-2, Vi=1ms-1
Runner B= 65kg, 3ms-2, Vi=0ms-2

I don't want an answer, just which equations to use or a hint.

Answers

Answered by Scott
momentum is mass times velocity

velocity is ... Vi + (a * t)

write their momenta in terms of t

set the expressions equal, and solve for t

Answered by Cam
So p=m*Vi + (a*t)

85*1+2t=65*0+3t

85+2t=3t

85=t?

Which is incorrect obviously. I know from other failed methods that the answer is ~3.7seconds.

What am i doing wrong?

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