4. A toy rocket is fired into the air from the top of a barn. It's height (h) above the ground in
yards after t seconds is given by the function: h(t) =- 5t^2+ 10t+ 20.
a) What was the maximum height of the rocket?
b) How long was the rocket in the air before it reached its highest height?
Answers
Answer:
A) 25
Step-by-step explanation:
You use x= -b/2a in order to get your maximum so x= -10/ 2(-5) and you get x=1. You plug 1 into the function as h(1)=-5(1)^2 + 10(1)+ 20 which gets you 25
A function assigns the values. The time it will take for the rocket in the air before it reached its highest height is 1 second.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) The maximum height of the rocket can be found by differentiating the function to get the maximum value of the height funciton.
dh/dt = -5(2t) + 10
Substitute the differentiated value with 0,
0 = -10t + 10
-10t = -10
t = 1
Therefore, the maximum height will be attained when the time is 1 second.
Now, substitute the value of t as 1 second to get the maximum height,
h(t) =- 5t²+ 10t+ 20
h(1) =- 5(1)² + 10(1)+ 20
h(1) = -5 + 10 +20
h = 25 yards
Hence, the maximum height of the rocket is 25 yards.
B.) The time it will take for the rocket in the air before it reached its highest height is 1 second.
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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_________________________
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Answer:
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Step-by-step explanation:
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Your family needs a set of 4 tires. Which of the following deals would you prefer? Complete the explanation below to tell which deal(s) would be better.
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Answer
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Step-by-step explanation:
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Answer:
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Answer:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
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×
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Step-by-step explanation:
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Answers
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Answers
Answer:
x= 1.6 degrees
Step-by-step explanation:
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Answers
Answer:
p = q /2 − 5 r /2
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Answer:
the answer is B!! hopefully this helps
At the beginning of the year, John had $40 in savings and saved an additional $13 each week thereafter. Isaac started the year with $80 and saved $9 every week. Let J represent the amount of money John has saved tt weeks after the beginning of the year and let I represent the amount of money Isaac has saved t weeks after the beginning of the year. Write an equation for each situation, in terms of t, and determine the number of weeks after the beginning of the year until John and Isaac have the same amount of money saved.
Answers
isaac- 80+t9=i
They would have the same amount of money after 10 weeks
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isaac- 80+(10•9)= 170
16
Which of the following expressions are equivalent to 25 -
5
? Select all that apply.
1 16
25 5
(25x16)
5
(25x5)
16
125
16
0 0 0
1
25
х
5
16
Answers
Answer:
1,16, that is the answers
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Answers
Answer:
1. Two angles are called complementary when their measures add to 90 degrees.
2. Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
