A rubber duck was placed on the surface of a pool. As somebody jumped into the pool close to the duck, the duck bobbed up and down on the water surface. Its vertical motion was plotted on the graph below. vertical position of a rubber duck on a water surface 10 -10 1 2 4 time (s) The motion can be described by the equation: Ae-0.2tcos(5t) where A is the maximum amplitude of 10cm. What is the average vertical velocity of the rubber duck between 1.5s and 3.2s ? Assume positive means upwards, and negative downwards. Be sure your calculator is in radian mode for this question. Answer: cm/s s/cm s displacement (cm)
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
Pls help ASAP
![A rubber duck was placed on the surface of a pool. As somebody jumped into the pool close to the duck, the duck bobbed up and down on the water surface. Its vertical
motion was plotted on the graph below.
vertical position of a rubber duck
on a water surface
10
-5
-10
1
2
3
4
time (s)
The motion can be described by the equation:
Ae-0.2tcos(5t)
where A is the maximum amplitude of 10cm.
What is the average vertical velocity of the rubber duck between 1.5s and 3.2s ? Assume positive means upwards, and negative downwards. Be sure your calculator is in
radian mode for this question.
Answer:
cm/s Os/cm Os
displacement (cm)
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