MathDB

Putnam 1938 A3

Source:

August 20, 2021

Putnam

Problem Statement

A particle moves in the Euclidean plane. At time

t

(taking all real values) its coordinates are

x = t^3 - t

and

y = t^4 + t.

Show that its velocity has a maximum at

t = 0,

and that its path has an inflection at

t = 0.

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