Respuesta :
Answer and Explanation: Kinetic energy is related to movement: it is the energy an object possesses during the movement. it is calculated as:
[tex]K=\frac{1}{2}mv^{2}[/tex]
For the object thrown in the air:
[tex]K=\frac{1}{2}.2.[v(t)]^{2}[/tex]
[tex]K=(-9.8t+24)^{2}[/tex]
[tex]K=96.04t^{2}-470.4t+576[/tex]
Kinetic energy of the object as a function of time: [tex]K=96.04t^{2}-470.4t+576[/tex]
Potential energy is the energy an object possesses due to its position in relation to other objects. It is calculated as:
[tex]U=mgh[/tex]
For the object thrown in the air:
[tex]U=9.8.2.h(t)[/tex]
[tex]U=9.8.2.(-4.9t^{2}+24t+60)[/tex]
[tex]U=-96.04t^{2}+470.4t+1176[/tex]
Potential energy as function of time: [tex]U=-96.04t^{2}+470.4t+1176[/tex]
Total kinetic and potential energy, also known as mechanical energy is
TME = [tex]96.04t^{2}-470.4t+576[/tex] + ([tex]-96.04t^{2}+470.4t+1176[/tex])
TME = 1752
The expression shows that total energy of an object thrown in the air is constant and independent of time.
