A particle moves along the x-axis with position function s(t) = e^(cos(x)). How many times in the interval [0, 2π] is the velocity equal to 0?

Question

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More than 3< my nswer

Answer 1

I think you must mean
s(t) = e^(cos(t))

velocity is zero when

v(t) = ds/dt = e^cos(t) (-sin(t)) = 0
sin(t)=0 when t is a multiple of pi.

So, it looks like you are in error.