Answer:
Step-by-step explanation:
Let
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line into slope-point
with the slope and the point A
The trigonometric function that models the distance (feet) of the rider from the camera as a function of time (seconds) is γ(t) = ωt, where ω is the angular velocity of merry-go-round.
Let, center of the merry-go-round is C and camera is placed at point A. B(t) define the position of the rider at any time t. The angle between these three-point A, C and B is y(t). Radius (r) of the merry-go-round is 3 feet and distance (d) of the rider from the camera is 6 and the angular velocity of the rider is ω.
Assume the rider is at the edge of the merry-go-round (as the position is not specified). So, the length of CB(t) is r. To solve this problem lets consider that angular velocity of merry-go-round is constant, ω = 0 and y(t) = 0.
Therefore, we have y(t) = ωt
So, the the distance (feet) of the rider from the camera is (from the triangle AB(t)C)
C(t) = √(r² + d² - 2rdcos(y(t)) = √(45 - 36cos(ωt) = 3√(5 - 4cos(ωt))
Learn more about angular velocity here:
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1. 6 times 6 = 36 cm
2. 9 times 11 = 99 yd
3. 1/2(13)(8+3)
6.5(11)
71.5 ft
4. 12 times 4 = 48 m
5. 5 times 3 = 15 in
6. 8 times 4 = 32 mm
7. 1/2(8)(10+2)
4(12)
48 yd
8. 4 times 4 = 16 cm
9. 12 times 15 = 180 in
6 cm
the diameter is two times the radius so the radius would be 12/2 which is
6 cm
Answer: -7cos(x)
Step-by-step explanation:
d/dx (f(x))= -7cos(x)
