Question

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

Answer 1

Complete Question:

The expression 16t² represents the distance in feet an object falls after t seconds. The object is dropped from a height of 906 feet. What is the height in feet of the object 2 seconds after it is dropped?

Answer:

H(2) = 842 feet

Step-by-step explanation:

Let the height be H.

Given the following data;

H(t) = 16t²

Height, H = 906 feet

Time, t = 2 seconds

To find the time, t at 2 seconds, we would use the following formula;

H(t) = H - 16t²

H(2) = 906 - 16(2)²

H(2) = 906 - 16*4

H(2) = 906 - 64

H(2) = 842 feet

Therefore, the height in feet of the object 2 seconds after it is dropped is 842.