The velocity of a ball thrown in the air is 72ft

Per second. The height of the ball after t seconds
Is represented by the equation
H = 72ft t - 62t^2.

Describe the dependent variable, the domain and range.

Honestly I have to say I am lost

72 x 72ft - 256 = ?
Not sure if I am heading in the right direction

1 answer

the domain of all polynomials is all real numbers.

Naturally, in the real world, only positive time makes sense, so the domain here is just t >= 0

What planet is this ball on? gravity on earth wold make the function

H(t) = 72t - 16t^2

Find the vertex of that parabola. That is the maximum height. Naturally, negative height makes no sense, so the range is

0 <= H <= max-height at vertex.