Lucy kicks a shuttlecock into the air from a height of 0.6 feet
1 answer:
Answer:
4.6 feet
Step-by-step explanation:
The equation is:
Where
v is initial velocity (given as 16)
s is initial height (given as 0.6)
Substituting, we can write:
This is a quadratic equation of the general form:
Which we can conclude the coefficients to be:
a = -16
b = 16
c = 0.6
The max height occurs at the value:
So, max height occurs at:
We will get the max height if we put t = 0.5 into the original equation. So that would be:
Max Height = 4.6 feet (occurs at t = 0.5 seconds)
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Finding the equivalent angle of , the correct statements are given as follows:
- The Measure of the reference angle is 45.
.
.
Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
In this problem, the given angle is as follows:
It is on the third quadrant, as it is between pi and 1.5 pi, hence the equivalent on the first quadrant, also known as the reference angle, is given by:
The angle of 45º has equal sine and cosine, and tangent of 1, hence the correct statements are:
- The Measure of the reference angle is 45.
More can be learned about equivalent angles at brainly.com/question/24787111
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<span>Let's analyze Hannah's work, step-by-step, to see if she made any mistakes.
</span>In Step 1, Hannah wrote
<span> as the sum of two separate derivatives </span>
<span>using the </span><span>sum rule.
</span>
This step is perfectly fine.
In Step 2,
was kept as it is, and 
was rewritten as 
using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.
This step is perfectly fine.
In Step 3,
was rewritten as 
supposedly using the constant multiple rule.
The problem is that according to the constant multiple rule,
should be rewritten as 
and not as 
.
<span>Therefore, Hannah made a mistake in this step.</span>
</span>In Step 1, Hannah wrote
</span>
This step is perfectly fine.
In Step 2,
This step is perfectly fine.
In Step 3,
The problem is that according to the constant multiple rule,
<span>Therefore, Hannah made a mistake in this step.</span>