![kalbaugh](/avatars/36159.jpg)
kalbaugh
20.10.2019 •
Mathematics
Afirework is launched into the air from ground level with an initial velocity of 128 ft/s. if acceleration due to gravity is –16 ft/s2, what is the maximum height reached by the firework?
[ h(t) = at2 + vt + h0 ]
a. 256 ft
b. 448 ft
c. 512 ft
d. 1,024 ft
Solved
Show answers
More tips
- S Sport How to Choose Tennis Rackets?...
- H Health and Medicine AKDS Vaccination: Ensure Your Child s Safety...
- H Health and Medicine Naskol ko Opasen Ukus Kleshcha i Kak Ego Raspoznat...
- C Computers and Internet How to Delete Your Account on Odnoklassniki...
- H Health and Medicine What to Do When Your Jaw Locks Up?...
- G Goods and services What Are the Most Popular Services?...
- P Philosophy How did the concept of module arise in computer science?...
- F Food and Cooking How to Cook Julienne? Recipes and Tips...
Answers on questions: Mathematics
- M Mathematics Which equation is linear? a. y x-2 b. y=×^2 c. y=3 d. y^2=1/2x+1...
- M Mathematics Write the letters of the words VERY WELL on 8 cards and put them in a bag. Shuffle them well. Do the following:What is the probability for a v to be drawn?What is the probability...
- E English How does fortunato s weakness montresor with his plan? in the cask of amontillado by edgar allan poe....
- P Physics Out of these three elements which one is most conductive ans which is least conductive iodine germanium chromiun...
- H Health Choose one of the Classifications of Drugs below. 1. Gateway Drugs 2. Depressant Drugs 3. Stimulant Drugs 4. Narcotics 5. Hallucinogens 6. Inhalants After choosing, come up with...
Ответ:
h(t) = at² + vt + h₀
with a = -16 ft/s² and v = 128 ft/s. In addition, since the firework starts from the ground, then the initial height, h₀, is equal to 0. Substituting these values, we have
h(t) = -16t² + 128t + 0 = -16t² + 128t
Seeing that h(t) is a quadratic function, then it forms a parabola. To find its maximum height, we can compute for the parabola's vertex.
To find the vertex's x-coordinate, we can use
t = -b/2a = (-128)/(2 · -16) = -128/-32 = 4
Since, it takes 4 seconds for the firework to reach its maximum height, then the maximum height it reaches is equal to h(4). Hence, we have
h(4) = -16(4)² + 128(4) = -16(16) + 512 = 256
Hence, the highest that the firework can reach is equal to 256 ft.
A. 256 ft
Ответ:
Correct answer A.
Step-by-step explanation:
Ответ:
Step-by-step explanation:
Let the distance be d and average speed be v.
Half of the distance the speed was 2/3v
Let the speed be xv in the second half of the distance.
Then time is:
d/v = d/2 : (2/3v) + d/2 : (xv)d/v = 3/4(d/v) + (1/2x)(d/v)1 = 3/4 + 1/2x1/2x = 1 - 3/4 1/2x = 1/42x = 4x = 2The rest of the road car has to ride with speed of 2v