Question

An object travels back and forth along a straight line. its velocity, in centimeters per second, is given by the function v(t) = equals 13 sine (startfraction pi over 45 endfraction t), where t is time in seconds. what is the maximum velocity of the object? 0 cm/s 13 cm/s 26 cm/s 90 cm/s

Answer 1

The correct option for the maximum velocity of the object is the option

13 cm/s.

What are Functions?

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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