The position function of a particle is x(t) = 4sin(2πt).

a. Find the velocity function x(t). b. Find the velocity when t = 0.c. Find the velocity when t = 1 /4. d. Find the velocity when t = 1 /2 .e. Find the velocity when t = 1.

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# The position function of a particle is x(t) = 4sin(2πt).
a. Find the velocity function x(t). b. Find the velocity when

a. Find the velocity function x(t). b. Find the velocity when t = 0.c. Find the velocity when t = 1 /4. d. Find the velocity when t = 1 /2 .e. Find the velocity when t = 1.