The correct option for the maximum velocity of the object is the option
13 cm/s.
<h3>What are Functions?</h3>
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The reason for the selection is as follows:
The known parameters of the motion of the vehicle are:
The type motion of the vehicle = Repetitive back and forth
The path of the motion of the object = Along a straight line
The function that gives the velocity in centimeters per second (cm/s) is given as follows;
v(t) = 13. sin(π/45 . t)
Where;
t = The time in seconds (a set of the input variables of the function)
v(t) = The velocity of the object (the output variables of the function)
The maximum output value of the sine function = 1, therefore;
sin(π/45 . t) = 1
The units of the of the function is cm/s
Therefore, the maximum velocity of the object is 13 cm/s
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