Question

N a soccer game, Sally kicks the ball to a teammate who is on the other side of the field. The ball's height h (in feet above the ground), t seconds after Sally kicked it, is modeled by: -2t^2+10t What is the height of the ball at the time it is kicked?

Answer 1

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Explanation:

The height of the ball after t seconds is given by the following equation:

`h(t) = -2t^(2) + 10t`

What is the height of the ball at the time it is kicked?

The ball is kicked at t = 0.

So we have to find h(0)

`h(0) = -2*0^(2) + 10*0 = 0`

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.