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
Dennis_Churaev [7]
3 years ago
13

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 15m/s. The ball's height h (in meters) aft

er t seconds is given by the following.
h=1+15t-5t^2
Find all values of t for which the ball's height is 6 meters. Round your answer(s) to the nearest hundredth.
Mathematics
1 answer:
lakkis [162]3 years ago
8 0

\bf \stackrel{\textit{ball's height}~\hfill }{\stackrel{\downarrow }{h}=1+15t-5t^2}\implies \stackrel{\textit{ball's height}~\hfill }{\stackrel{\downarrow }{6}=1+15t-5t^2}\implies 0=-5+15t-5t^2 \\\\\\ ~~~~~~~~~~~~\textit{using the quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{5}t^2\stackrel{\stackrel{b}{\downarrow }}{-15}t\stackrel{\stackrel{c}{\downarrow }}{+5}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}

\bf t=\cfrac{-(-15)\pm\sqrt{(-15)^2-4(5)(5)}}{2(5)}\implies t=\cfrac{15\pm\sqrt{225-100}}{10} \\\\\\ t=\cfrac{15\pm\sqrt{125}}{10}\implies t=\cfrac{15\pm\sqrt{5^2 \cdot 5}}{10}\implies t=\cfrac{\stackrel{3}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\pm ~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\sqrt{5}}{\underset{2}{~~\begin{matrix} 10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}

\bf t=\cfrac{3\pm \sqrt{5}}{2}\implies t= \begin{cases} \frac{3+ \sqrt{5}}{2} \approx 2.618\\\\ \frac{3- \sqrt{5}}{2}\approx 0.382 \end{cases}

You might be interested in
Vera's office recycled a total of 4 kilograms of paper over 2 weeks. After 7 weeks, how many kilograms of paper will Vera's offi
Natali [406]
Vera's office would recycle 9 kilograms of paper over 7 weeks. <span />
6 0
3 years ago
Determine the values of X for which g(x) is defined ​
Olin [163]

this is a question from me to you not an answer sorry what class are you taking

3 0
2 years ago
Need help with this quetion.
Sedaia [141]
Whats that kinda question
6 0
3 years ago
Madison to read a book that is 260 page and her mom said she can take a break and she is 30% finish how far does she need to rea
aliya0001 [1]
30% is 3/10. 260 times 3/10 is 780/10, or 78. She read 78 pages. 260 - 78 is 182 pages left.
3 0
3 years ago
Read 2 more answers
$3.00 for 150 golf tees
stepladder [879]

Answer:

2 cents a tee

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Find an equivalent fraction 2/6= 2/5=
    13·2 answers
  • Help please:
    6·1 answer
  • Geometry please help thank you
    10·1 answer
  • Solve the following system. y = (1/2)x^2 + 2x - 1 and 3x - y = 1 The solutions are (____)and (______ ) (remember to include the
    11·2 answers
  • Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756
    15·1 answer
  • Need help please help me
    11·1 answer
  • How far is Raleigh from Poplar Bluff?
    11·2 answers
  • How long does it take the snall to crawl 76 inches? Enter your answer as a decimal number.
    6·1 answer
  • Help me please this is urgent
    7·1 answer
  • Please tell me the correct answer. If u answer correct I’ll mark u as brainiest. I really need help.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!