How do I calculate instantaneous velocity?

[Michael17]

Can anyone please explain to me how to work out instantaneous velocity. I do not understand it and how to apply it. Any help would be greatly appriciated.

thank you.

 

[Leptos]

If the position of an insect is given by the equation F(T) = 5T³ - 2T² - 48 and you want to find the instantaneous velocity at a particular point T = 12 seconds, you must solve for F'(12).

That is, you take the derivative of F(T), which in this case is F'(T) = 15T² - 4T
and then you get F'(12) = 15(12)² - 4(12)

The derivative is the slope of the tangent line so it represents the instantaneous rate of change at a particular point.

 

[Michael17]

Thank you very much.