When playing a game, a 39 kg boy jumps vertically upward from the top of a wardr

Question

When playing a game, a 39 kg boy jumps vertically upward from the top of a wardrobe with a speed of 6.0 m/s. (Ignore small changes in gravitational potential energy). Then he falls onto a mattress. (a) How fast is he going as he lands on the mattress, 3.3 m below? (m/s) (b) If the mattress behaves like a spring with spring constant 5 104 N/m, how far does he depress the mattress? (m) so, the first answer was 10.03m/s However, I thought the second answer was 28.01m, but it was wrong, Please help me,,

Explanation / Answer

a)(39*0.5*(6^2))+(39*9.81*3.3) = 39*0.5*V^2 =>V = 10.03723 m/s b)kx^2 = mv^2 =>x = sqrt((39*(10.03723069^2))/50000) = 0.280324597 m

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