Algebra 1, Please Help! Describing Situations with Quad Functions

Question

The expression 16t² represents the distance in feet an object falls after t seconds. The object is dropped from a height of 906feet.

1. How far has the object traveled 2 seconds after being dropped?

2. What is the height in feet of the object 2 seconds after it is dropped?

3. What is the expression the represents the height of the object t seconds after it is dropped?

Answer 1

The height the objects has dropped in t seconds is given: height dropped = 16t²

1) Plug in t = 2 to find the height dropped in 2 seconds. Units are feet.

2) Since it's dropped from a height of 906 feet, its remaining height is 906 - (the value you got in 1). The units are feet.

3) Height = starting height - height dropped = 906 - 16t²