Answer:
An object moving along the x-axis is said to exhibit simple harmonic motion if its position as a function of time varies as
x(t) = x0 + A cos(ωt + φ).
The object oscillates about the equilibrium position x0. If we choose the origin of our coordinate system such that x0 = 0, then the displacement x from the equilibrium position as a function of time is given by
x(t) = A cos(ωt + φ).
A is the amplitude of the oscillation, i.e. the maximum displacement of the object from equilibrium, either in the positive or negative x-direction. Simple harmonic motion is repetitive. The period T is the time it takes the object to complete one oscillation and return to the starting position. The angular frequency ω is given by ω = 2π/T. The angular frequency is measured in radians per second. The inverse of the period is the frequency f = 1/T. The frequency f = 1/T = ω/2π of the motion gives the number of complete oscillations per unit time. It is measured in units of Hertz, (1 Hz = 1/s).
The velocity of the object as a function of time is given by
v(t) = dx(t)/dt = -ω A sin(ωt + φ),
and the acceleration is given by
a(t) = dv(t)/dt = -ω2A cos(ωt + φ) = -ω2x.
Answer:
70 dollars
Step-by-step explanation:
40% of 175 is 70
Here is the equation:
30 divided by 50 equals 0.6.
We do this because 30 divided by 50 meams you get the miles per minute.
But there are 60 minutes in an hour, so we multiply 0.6 times 60. This comes out to
Well, he reads 48 pages in those 12 days, that is 12*4 pages.
He has already read 48 pages and he still has 82, so he has a 130=48+82 page book.
Answer:
−
3
(
1
+
4
)
=
3
3
Step-by-step explanation:
