A mother penguin and her child are on a flat icy surface. The mother penguin is

Question

A mother penguin and her child are on a flat icy surface. The mother penguin is lying at rest enjoying the sun, 0.5m from the edge of the water. The young penguin, who has 1/4 of his mother's inertia, is sliding hopelessly out of control and collides with her elastically and bounces back at 1/8 his original speed. His mother wakes up as she hits the water (0.4s later). How fast was the young penguin going when he hit her? To another penguin, paddling directly toward them at 1 m/s, what is the mother's momentum before and after the collision, in terms of m_mother?

Explanation / Answer

function[m,st_dev] = mean_std(v)
n = length (v);
sum = 0;
for i = 1 :n
sum = sum+ v(i);
end
m = sum/n
sum2 = 0;
for i = 1:n
sum2 = sum2+ (m - v(i))^2 ;
end
st_dev = sqrt(1/n*sum2)

test :-

mean_std ([1 2 3 4])

m =

2.5000

st_dev =

1.1180

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