The height of the kite above the ground will be 108.22m.
<h3>How to get the height?</h3>
From the information, the wind makes an angle of 56° to the ground and the kite is about 73m.
Therefore, the height of the kite above the ground will be:
Tan 56° = opposite/adjacent
1.48256 = x/73
x = 73 × 1.48256
x = 108.22m
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First we write the mathematical model in a generic way:
"The stopping distance of an automobile is directly proportional to the square of its speed v"
d = kv ^ 2
Where,
k: proportionality constant.
We now look for the value of K:
d = kv ^ 2
90 = k ((70) * (5280/3600)) ^ 2
k = 90 / ((70) * (5280/3600)) ^ 2
k = 0.008538539 s ^ 2 / feet
The equation will then be:
d = (0.008538539) * v ^ 2
For v = 71 miles per hour we have:
d = (0.008538539) * ((71) * (5280/3600)) ^ 2
d = 92.6 feet
Answer:
a mathematical model that gives the stopping distance in terms of its speed v is:
d = (0.008538539) * v ^ 2
The stopping distance if the brakes are applied when the car is traveling at 71 miles per hour is:
d = 92.6 feet
Jerry’s cost is $.04 per message
Hi!
First make the denominators the same.
Add the numerators
Simplify to get your answer
The answer is
Hope this helps! :)
