Question

An object dropped from a height of 300ft as a height, h(t), in feet after t seconds have lapsed, such that h(t) = 300-4.9t². Express t as a function of height, h.

Answer 1

To express time, t, as a function of height, h, you can use the equation t = √((300 - h) / 4.9).

Step-by-step explanation:

To express time, t, as a function of height, h, we can start with the given equation:

h(t) = 300 - 4.9t²

Rearranging the equation, we get:

t² = (300 - h) / 4.9

Taking the square root of both sides, we have:

t = ± √((300 - h) / 4.9)

Since time cannot be negative in this context, we consider only the positive square root. Therefore, the time, t, can be expressed as a function of height, h, by:

t = √((300 - h) / 4.9)