what is h(t) = -16t^2 + v sub script 125 + h subscript 40

Answer 1

The given function is:

h(t) = -16t^2 + v₁₂₅ + h₄₀

where v₁₂₅ represents the initial velocity and h₄₀ represents the initial height.

This function represents the height of an object at time t, factoring in the effects of gravity and the initial velocity and height. The coefficient -16t^2 represents the effect of gravity on the object's height, and the terms v₁₂₅ and h₄₀ represent any initial velocity and height, respectively.

To find the height of the object at a specific time t, substitute the value of t into the function h(t).