Question

a ball is launched from a sling shot. its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.
after 1 second, the ball is 224 feet in the air; after 2 seconds, it is 416 feet in the air.
the height of the can be represented by this function:
h(x) = -16x² + 240x
find the height, in feet, of the ball after 10 seconds in the air.
enter the correct answer.

Explanation:

Step1: Substitute x=10 into function

$h(10) = -16(10)^2 + 240(10)$

Step2: Calculate squared term and products

$h(10) = -16(100) + 2400$

Step3: Compute final value

$h(10) = -1600 + 2400$

Answer:

800