Light warms objects when it shines on them. Sound waves from a powerful stereo can make the floor vibrate. Water waves crash on the beach with force. These observations support the claim that waves transfer energy.
The history of life in the geologic past as indicated by the imprints or remains of living thing is called FOSSIL RECORD.<span> It is the evolution that unfolded over trillion of years as natural and environmental interacts based on the natural selection. The fossil record is among the most popular evidences of evolution. It shows the way of living, the type of people, the survival struggles of the ancient people in the old times. All these types of remains are recorded that makes up the fossil record. </span>
The correct formula for
this simple harmonic motion is:
x = (6.0) cos [ (3 pi) t +
pi/3 ]
A. Calculating for displacement
x at t = 2:
x =6.0 cos (19/3 pi)
x = 6 (0.5)
x = 3 m
<span>B. Velocity is equivalent
to the 1st derivative of the equation. v = dx / dt </span>
<span> Velocity v = dx/dt = -18 pi sin (3pi t + pi/3) </span>
v = - 18 pi sin (6pi +
pi/3)
v = 49.0 m/s
<span>C. Acceleration is the 2nd
derivative or the 1st derivative of velocity dv / dt</span>
Acceleration a = dv/dt = -54 pi^2 cos(3pi t + pi/3)
a = -54 pi^2 cos(3pi * 2 +
pi/3)
a = 386.34 m/s^2
D. Phase = pi/3
E. frequency f= 3pi/2pi =
1.5Hz
<span>F. period = 1/f = 1/1.5 = .6667sec </span>
Linear.
Since it is fired at a 30-degree angle, it is assumed to follow a straight line, which makes it linear.