The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by
So for f(x) = x² on [1, 5], the AROC of f is
Answer: The mass of the object is 10 kg
Step-by-step explanation:
According to Newton's second law of motion, the force applied to an object with mass
is directly proportional to its acceleration
:
(1)
If we isolate :
(2) This means the acceleration of the object varies inversely with its mass
Now, we are given the following data to calculate a constant force using (1):
(3)
(4)
(5)
If we apply this same force calulated in (4) in another object with an acceleration of , its mass
will be:
(6)
(7)
Finding :
This is the mass of the object