Answer:
The initial height of the stone is 43 meters.
Step-by-step explanation:
We have, the height followed by stone as a function of time t is given by :
It is required to find the initial height of the stone. We know that initial height means height when t = 0. Putting t = 0 in above equation such that,
So, the initial height of the stone is 43 meters.
Answer:
h = f(t) = -15cos((π/5)t) +20
Step-by-step explanation:
If you like, you can make a little table of positions:
(t, h) = (0, 5), (5, 35)
Since the wheel is at an extreme position at t=0, a cosine function is an appropriate model:
h = Acos(kt) +C
The amplitude A of the function is half the difference between the t=0 value and the t=5 value:
A = (1/2)(5 -35) = -15
The midline value C is the average of the maximum and minimum:
C = (1/2)(5 + 35) = 20
The factor k satisfies the relation ...
k = 2π/period = 2π/10 = π/5
So, the function can be written as ...
h = f(t) = -15cos((π/5)t) +20
168 divided by 5.6 equals 30 hope this helps
Step-by-step explanation:
Error = 7.7-7.4=0.3
% error= 0.3/7.7×100 % error= 3.89%
= 3.9% to the nearest tenth