Answer:
Physics - The position of a particle experimenting an uniform accelerated motion. (Quadratic function)
Chemistry - The velocity of the chemical reaction as a function of temperature. (Exponential function)
Physics - Convective heat transfer of an element with its surroundings. (Linear function)
Physics - Time conversion from seconds to minutes. (Linear function)
Physics - Radiative heat transfer from an element. (Quartic function)
Step-by-step explanation:
There are many examples of applications of function in real life:
Physics - The position of a particle experimenting an uniform accelerated motion. (Quadratic function)
[tex]y = y_{o} + v_{o}\cdot t + \frac{1}{2}\cdot a \cdot t^{2}[/tex] (1)
Where:
[tex]y[/tex] - Current position.
[tex]y_{o}[/tex] - Initial position.
[tex]v_{o}[/tex] - Initial velocity.
[tex]a[/tex] - Acceleration.
[tex]t[/tex] - Time.
Chemistry - The velocity of the chemical reaction as a function of temperature. (Exponential function)
[tex]k = A\cdot e^{-\frac{E_{o}}{R\cdot T} }[/tex] (2)
Where:
[tex]A[/tex] - Frequency factor.
[tex]E_{o}[/tex] - Activation energy.
[tex]R[/tex] - Ideal gas constant.
[tex]T[/tex] - Temperature.
[tex]k[/tex] - Kinetic constant.
Physics - Convective heat transfer of an element with its surroundings. (Linear function)
[tex]\dot Q = h\cdot A_{s} \cdot (T-T_{\infty})[/tex] (3)
Where:
[tex]h[/tex] - Convective constant.
[tex]A_{s}[/tex] - Surface area.
[tex]\dot Q[/tex] - Heat transfer rate.
[tex]T_{\infty}[/tex] - Temperature of the surroundings.
[tex]T[/tex] - Surface temperature of the element.
Physics - Time conversion from seconds to minutes. (Linear function)
[tex]t' = \frac{1}{60}\cdot t[/tex] (4)
Where:
[tex]t[/tex] - Time, in seconds.
[tex]t'[/tex] - Time, in minutes.
Physics - Radiative heat transfer from an element. (Quartic function)
[tex]\dot Q = \epsilon \cdot \sigma \cdot A_{s}\cdot T^{4}[/tex] (5)
Where:
[tex]\dot Q[/tex] - Heat transfer rate.
[tex]T[/tex] - Surface temperature of the element.
[tex]A_{s}[/tex] - Surface area.
[tex]\epsilon[/tex] - Emissivity.
[tex]\sigma[/tex] - Stefan-Boltzmann constant.
