Which linear inequality is represented by the graph?
1 answer:
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Answer:
The equation that represents the motion of the string is given by:
.....[1] where t represents the time in second.
Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.
Substitute the given values in [1] we get;
or
(a)
The trigonometric function that models the motion of the string is given by:
(b)
Determine the amount of time t that it takes the string to be damped so that
Using graphing calculator for the equation
let x = t (time in sec)
Graph as shown below in the attachment:
we get:
the amount of time t that it takes the string to be damped so that is, 0.5 sec
Answer: A. 87 feet
Step-by-step explanation:
1. You can find the t value of the vertex of the parabola as following:
2. Substitute values:
a=-16
b=70
Then:
3. Substitute the vaue obtained into the equation given in the problem. Therefore, you obtain the following result:
4. To the nearest foot:
h=87 feet