#1
Which trigonometric function is used to model the height variation of an object in periodic motion?
#2
In a simple harmonic motion, if the amplitude of oscillation is 10 meters, what is the maximum displacement of the object from its equilibrium position?
#3
What is the period of a sinusoidal function that completes one cycle in 2π seconds?
#4
Which trigonometric function represents the vertical displacement of an object in simple harmonic motion?
#5
For a sinusoidal function f(x) = 3sin(2x - π/4), what is the amplitude?
#6
In a pendulum, if the length of the string is doubled, how does it affect the period of oscillation?
#7
What is the phase shift of the function f(x) = sin(2x - π/4)?
#8
What is the vertical displacement of a simple harmonic motion described by the function y(t) = 2cos(3t) at time t = π/6 seconds?
#9
In a periodic function, what does the phase shift determine?
#10
What is the vertical displacement of a simple harmonic motion described by the function y(t) = 4sin(2t) at time t = π/4 seconds?
#11
In a periodic function, what does the amplitude determine?
#12
If the period of a periodic function is 2 seconds, what is its frequency in hertz?
#13
What is the phase shift of the function f(x) = cos(3x - π/6)?
#14
If the angular frequency of a harmonic motion is 5 rad/s and the amplitude is 2 meters, what is the maximum velocity of the object?
#15
What is the phase difference between the functions f(x) = 2sin(x) and g(x) = 2sin(x + π/3)?
#16
If a sinusoidal function completes 4 cycles in 6 seconds, what is its frequency?
#17
For a sinusoidal function f(x) = 5sin(2x + π/3), what is the amplitude?
#18
If the period of a harmonic motion is 4 seconds and the amplitude is 3 meters, what is the angular frequency?
#19
What is the phase difference between the functions f(x) = sin(x) and g(x) = cos(x)?
#20
If the amplitude of a periodic function is 5 and the maximum displacement is 8, what is the minimum displacement?
#21
What is the phase difference between the functions f(x) = sin(x) and g(x) = sin(x + π/4)?
#22
If the amplitude of a periodic function is 3 and the minimum displacement is -7, what is the maximum displacement?
#23