ANSWER
4 ft
EXPLANATION
The velocity equation of the oscillating spring is given by the function.
To find the displacement function, we need to to Integrate the velocity function.
At time t=0, there was no displacement.
This implies that,
The displacement function then becomes,
To find the displacement over the first π seconds, we put
into the equation for the displacement to get,
If you multiply the top equation by -2 you get:
-4x -14y = 14 => -4x = 14+14y
now you can plug in the -4x into the second equation:
14+14y - 3y = -19 => 11y = -33 => y=-3
Fill in y=-3 in either equation to find x:
2x - 21 = -7 => 2x = 14 => x=7
So your ordered pair is (7,-3)
So first, you need to identify the parts of this equation.
3x is the slope of the line, which is .
-5 is the y-intercept. or the part of the line that touches the y-axis.
The first thing you want to do is plot the y-intercept. SO, go to the y-axis and find -5. Plot your point there.
Now, use the slope to find your next plot. Since slope is , you go up three, and over to the right one.
Now, draw a line connecting the dots. Your slope should be positive and look like > /
~theLocoCoco
sin x = cos 54 = sin (90-54) = sin 46
Hence x = 46 deg
Same technique. Sin 21 = cos (5x+9) = sin (90-5x-9)
81-5x = 21
Or 5x = 60
Or x = 12 deg
hope it helps