Find a polynomial f(x) of lowest possible degree such that the curve y = f(x) , 0 x 1, can be used to join the straight line segments y = 0, x 0, and y = 1, x 1, to form a curve along which a particle can travel at constant speed without experiencing discontinuous acceleration.
A) f(x) = 10 - 15
+ 6
B) f(x) = 4 - 7
+ 4
C) f(x) = 2 - 3
+ 2
D) f(x) = 18 - 30
+ 13
E) f(x) = - 3
+ 2
Correct Answer:
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