An object travels back and forth along a straight line. Its velocity, in centimeters per second, is given by the function v times t is equal to 13 sine open paren pi over 45 t close paren , where t is time in seconds. What is the maximum velocity of the object?
The velocity is v(t) = 13 sin((π/45)t). Since the greatest value of sine is 1, the maximum velocity is 13 × 1 = 13 cm/s. The correct choice is 13 cm/s.
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