1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Minchanka [31]
3 years ago
6

A ball is thrown into the air with a velocity of 34 ft/s. It's height in feet after t seconds is given by y=34t-26(t)^2. Find th

e avg velocity for the time period beginning when t(0)= 3 seconds and lasting for the given time t= .01 seconds: ???
Mathematics
1 answer:
kkurt [141]3 years ago
8 0

Answer:

The average velocity of the ball at the given time interval is -122.3 ft/s

Step-by-step explanation:

Given;

velocity of the ball, v = 34 ft/s

height of the ball, y = 34t - 26t²

initial time, t₀ = 3 seconds

final time, t = 3 + 0.01 = 3.01 seconds

At t = 3 s

y(3) = 34(3) - 26(3)² = -132

The average velocity of the ball in ft/s is given as;

V_{avg} = \frac{y(3.01)-y(3)}{3.01 -3}\\\\V_{avg} = \frac{34(3.01)-26(3.01)^2-y(3)}{3.01 -3}\\\\V_{avg} = \frac{-133.223-y(3)}{0.01}\\\\V_{avg} = \frac{-133.223-(-132)}{0.01}\\\\V_{avg} =\frac{-1.223}{0.01}\\\\V_{avg} = -122.3 \ ft/s

Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s

You might be interested in
Which subset of the real numbers contains the square root of 50
DENIUS [597]
The first thing you should do in this case is to know that you can rewrite the expression.
 We have then:
 root (50)
 Rewriting:
 root (2 * 25)
 5 * root (2)
 Which belongs to the set of irrational numbers.
 Answer: 
 Irrational numbers.
3 0
3 years ago
A boy bought a sandwhich 49 inches long. He want to cut it into 3 pieces. the middle piece is 5 inches longer than the shortest
miss Akunina [59]
S+M+L=49

(L-8)+(S+5)+L=49

2L+S=49

6 0
3 years ago
What is the length of segment AC?<br><br> (Picture attached)
natka813 [3]
6^2 + 8^2 = c^2. \newline&#10;36 + 64 = c^2. \newline&#10;c = \pm10 \Rightarrow AC = 10.
8 0
3 years ago
Find the mean.<br> 20, 5, 45, 90, 60, 45, 30, 10, 20, 45, 15,25
aliina [53]

\huge\textsf{Hey there!}

\bullet \large\textsf{ Finding the mean you have to add up all of your numbers \& divide it}\\\large\textsf{by the total numbers in your data plot}

\mathsf{\dfrac{20 + 5 + 45 +  90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}{12}}

\mathsf{20 + 5 + 45 +  90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}

\mathsf{= 25 + 45 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}

\mathsf{= 70 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}

\mathsf{= 160 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}

\mathsf{= 220 + 45 + 30 + 10 + 20 + 45 + 15 + 25}

\mathsf{= 265 + 30 + 10 + 20 + 45 + 15 + 25}

\mathsf{= 295 + 10 + 20 + 45 + 15 + 25}

\mathsf{= 305 + 20 + 45 + 15 + 25}

\mathsf{= 325 + 45 + 15 + 25}

\mathsf{= 370 + 15 + 25}

\mathsf{= 385 + 25}

\mathsf{= \bf 410}

\mathsf{= \dfrac{410}{12}}

\mathsf{\dfrac{410}{12} \approx \bf 34.1667}

\boxed{\boxed{\huge\textsf{Thus, your ANSWER is: \boxed{\mathsf{ \bf \underline{{\star 34.1667\star}}}}}}}}\huge\checkmark

\huge\textsf{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

6 0
3 years ago
Read 2 more answers
4 x 105 in standard notation
Paul [167]

Answer:

Lol its 420

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Please explain how you got your answer (:
    10·1 answer
  • Item 2 Solve. {y=3x−49x−3y=14 Use the substitution method. There are an infinite number of solutions. The solution is (14, 12).
    8·2 answers
  • Josiah downloads 44 songs including 16 songs by his favorite band. Express as a decimal the number of songs by his favorite band
    7·2 answers
  • Paul bought a total of 24 sandwiches for his birthday party.The amount of turkey sandwhiches was three times the amount of ham s
    9·1 answer
  • Keegan makes a deposit into her savings account at the beginning of the year. The account earns 3% simple interest each year. Sh
    7·2 answers
  • A recipe for chili calls for 4/5 cup of water. You are making 1/3of the recipe. How much water do you use?
    8·1 answer
  • Jessica buys a computer that originally cost $1,015 using a 20% off coupon. Sales tax in her city is 5%. How much will she pay f
    15·2 answers
  • 8/12- 3/8 show your work with a quation
    15·1 answer
  • I need help w this pls
    5·1 answer
  • PLEASE HELP I will give 50 points! PLEASE ANSWER CORRECTLY
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!