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The graph shows the distance y, in feet, a pendulum moves to the right (positive displacement) and to the left (negative displacement), for a given number of seconds.

How many seconds are required for the pendulum to move from its resting position, swing in one direction and return to its resting position?

 

A sinusoidal function with the x axis beginning at zero and increasing in increments of zero point five until reaching seven point five. The function begins at zero comma zero and increases to a maximum value of one point twenty-five comma twenty. The graph then decreases through two point five comma zero to a minimum value of three point seventy-five comma negative twenty. The graph then increases through five comma zero to a maximum value of six point twenty-five comma twenty. The graph then decreases to seven point five comma zero.

 

The graph shows how many centimeters above a table top, y, a painted spot on an automated hamster wheel is for a given number of seconds x.

How many degrees is the painted spot turning into 0.75 s?

 °

Guest Feb 7, 2018
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The period of the first graph is 5 seconds

 

The second graph  can be modeled by

 

y = 6sin (  2pi * x / 1.5    -  pi / 2)   +  6

 

Here's the graph : https://www.desmos.com/calculator/1hzzmtin1z

 

At..  x  = .75 s....we have

 

2pi * (.75) / 1.5   - pi.2   =

 

pi  - pi/2   =  pi/2    =  90°

 

 

cool cool cool

CPhill  Feb 7, 2018

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