Question

The height h of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the function h(t) =300-16t^2. Which expression could be used to determine the average rate at which the object falls during the first 3 second of its fall?
A)h(3)-h(0)
B)h(3/3)-h(0/3)
C)h(3)/3
D)h(3)-h(0)/3

Answer 1

Answer:

D) h(3)-h(0)/3

Step-by-step explanation:

The average rate of change is found by subtracting the output values (finding the amount of change in the output values) and dividing it by the change in the input values.

The height in the 3rd second would be given by h(3).  The original height would be given by h(0).  The change in output values would be given by h(3)-h(0).

The change in input values is found by subtracting the two input values, in this case 3 and 0; 3-0 = 3.  

This gives us

h(3)-h(0)/3

Answer 2

The answer is D) h(3)-h (0)/3

Also, the answer to the equation is 156.