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
forsale [732]
2 years ago
5

The height of a projectile fired upward is given by the formula

Mathematics
1 answer:
natali 33 [55]2 years ago
5 0

Answer:

The projectile will reach a height of 96 feet after about 0.84 seconds as well as after about 7.16 seconds.

Step-by-step explanation:

The height of a projectile fired upward is given by the formula:

\displaystyle s = v_{0} t - 16t^2

Where <em>s</em> is the height in feet, <em>v</em>₀ is the initial velocity, and <em>t</em> is the time in seconds.

Given a projectile with an initial velocity of 128 ft/s, we want to determine how long it will take the projectile to reach a height of 96 feet.

In other words, given that <em>v</em>₀ = 128, find <em>t</em> such that <em>s</em> = 96.

Substitute:

(96) = (128)t-16t^2

This is a quadratic. First, we can divide both sides by -16:

-6 = -8t+t^2

Isolate the equation:

t^2 - 8t + 6 = 0

The equation isn't factorable, so we can consider using the quadratic formula:

\displaystyle t = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}

In this case, <em>a</em> = 1, <em>b</em> = -8, and <em>c</em> = 6. Substitute:

\displaystyle t = \frac{-(-8)\pm\sqrt{(-8)^2-4(1)(6)}}{2(1)}

Simplify:

\displaystyle t = \frac{8\pm\sqrt{40}}{2} = \frac{8\pm 2\sqrt{10}}{2} = 4\pm \sqrt{10}

Hence, our two solutions are:

\displaystyle t = 4+\sqrt{10} \approx 7.16\text{ or } t= 4-\sqrt{10} \approx 0.84

So, the projectile will reach a height of 96 feet after about 0.84 seconds as well as after about 7.16 seconds.

You might be interested in
58% of 250 pls quick I’m in a test rn Yr 7
kicyunya [14]

Answer:145

Step-by-step explanation:the answer is 145

7 0
3 years ago
Read 2 more answers
Todo numero es divisible por 3, si al sumar el total de sus digitos, se obtiene un numero mutiplo del tres (se puede expresar co
Free_Kalibri [48]

Answer:

si, eso es correcto

Step-by-step explanation:

Espero que esto ayude a marcar el MÁS CEREBRAL !!!

7 0
2 years ago
Use this graph to answer the questions below:
stepladder [879]

the x axis and the yaxis

3 0
3 years ago
Read 2 more answers
A turtle can walk 1/12 of a kilometer in an hour. The turtle is 1/5 of a kilometer away from a pond. At this speed how long will
Cloud [144]

Answer:

2.4 hours

Step-by-step explanation:

Get common denominators -

1/12 x 5/5 = 5/60

1/5 x 12/12 = 12/60

The turtle walks ata 5/60 a kilometer an hour.

divide remaining time by 5/60

(12/60) / (5/60) = 2.4 hours

4 0
3 years ago
Read 2 more answers
Qasim and Alejandra both earn $15 an hour at their job. This week Alejandra worked three hours more than Qasim. If h represents
joja [24]

Answer:

Alejandra worked 8 hours and Qasim worked 5

Step-by-step explanation:

195/15 is 13. They worked 13 hours in total. 8 is 3 more than 5 and together they equal 13.

8 0
3 years ago
Other questions:
  • Help me Select the correct answer from each drop-down menu.
    8·1 answer
  • It takes 1 3/4 ft of string to complete a violin. If she buys 24 ft of string how many violins can she complete please help
    8·1 answer
  • Helpppppp meeeeee withis thatt
    9·1 answer
  • Obtaining a measure of intelligence from a group of college students would likely yield a somewhat normal distribution (that is,
    6·1 answer
  • Help I’m so confused
    14·1 answer
  • A firefighter is attempting to escape a burning building. If the window is of the man's apartment is 18 feet above the ground an
    8·1 answer
  • If
    12·1 answer
  • Please help ASAP due soon pretty easy question just stuck
    8·2 answers
  • Giving brainliest ! *easy*
    14·2 answers
  • Please help with this
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!