Answer:
29.2 ft/s
Explanation:
The distance of the light's projection on the wall
y = 13 tan θ
where θ is the light's angle from perpendicular to the wall.
The light completes one rotation every 3 seconds, that is, 2π in 3 seconds,
Angular speed = w = (2π/3)
w = (θ/t)
θ = wt = (2πt/3)
(dθ/dt) = (2π/3)
y = 13 tan θ
(dy/dt) = 13 sec² θ (dθ/dt)
(dy/dt) = 13 sec² θ (2π/3)
(dy/dt) = (26π/3) sec² θ
when θ = 15°
(dy/dt) = (26π/3) sec² (15°)
(dy/dt) = 29.2 ft/s
Answer:
1) Determine the domain of the following functions: d ... 3) If g(x) = x + 3 and f(x)= x² – 2x, find the value of f(g(a)). ... 6) Given the graph of f(x) to the right, determine: ... 8) Given f(x)= x? and g(x)= 2* The inverse of g is a function, but the inverse off is ... -3(x-1)= -5 4 (-3). -3x+ 3 = y. 10) The graph of a function f (x) is given at the.
Explanation:
True! In order for work to be done, a force must cause movement.
Answer:
When it goes up it gains PE and when it moves down PE is converted into KE
Explanation:
Given parameters:
Frequency = 12Hz
Unknown:
a. Period of its rotation
b. Time required to complete 86 rotations
Solution:
Frequency is the number of times of rotation per unit of time.
Frequency = 
Period is the opposite of frequency;
Period = 
= 0.083s
b. Time for 86 rotations;
Since frequency =
n is the number of rotation
t is the time
t = 
= 
= 7.2s
