The function f(x) = –2x2 + 32 represents the height of an object, f(x), after x seconds. How many seconds does it take for the object to hit the ground?

Given:

The height of an object, f(x), after x seconds is

To find:

The time taken be object to hit the ground.

Solution:

We have,

The object will hit the ground if the height is 0, i.e., f(x)=0.

Divide both sides by 2.

Taking square root on both sides.

Time cannot be negative. So, x=4.

Therefore, the object will hit the ground after 4 seconds.

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base