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April 24, 2014

April 24, 2014

Posted by **nan** on Monday, October 3, 2011 at 9:40pm.

- physics -
**drwls**, Monday, October 3, 2011 at 10:40pmM = father's mass

m = son's mass = M/3

V = father's initial speed

v = son's initial speed

(1/2)MV^2 = (1/3)*(1/2)*m v^2

M*V^2 = (1/3)(M/3)v^2

V^2/v^2 = 1/9

V = v/3

Second equation:

(1/2)M*(V + 1.4)^2 = (1/2)m*v^2

= (1/2)*(M/3)*(3V)^2

cancel out the M's and (1/2)'s

(V + 1.4)^2 = 3V^2

V^2 + 2.8V + 1.96 = 3V^2

V^2 -1.4V -0.98 = 0

Solve for V; take the positive root.

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