We presume the temperature is decreasing at midnight, so reaches a low at 6 a.m.. The amplitude of the variation is (87-63)/2 = 12 degrees. We want the period to be 24 hours, so the argument of the sine function will be 2π(t/24) = πt/12. Then we can write
... d = 75-12sin(π·t/12)
The variable t represents the number of seconds that have passed after the release of the rocket.
<h3>Function</h3>The function can be defined as an expression that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The height of a rocket a given number of seconds after it is released is modeled by,
As given in the above function, h (height) is the dependent variable which depends on the number of seconds t after the rocket is released (independent variable).
Hence we can conclude that the variable t represents the number of seconds after the rocket has been released.
To know more about the function, follow the link given below.