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
vichka [17]
3 years ago
12

An object is launched vertically upward from a 25 foot platform and is modeled by the function s(t)=−16t2+11t+25.

Mathematics
1 answer:
ch4aika [34]3 years ago
4 0

Correct option:

d. 1.64

<h2>Explanation:</h2>

An object is launched vertically upward from a 25 foot platform and is modeled by the following function:

s(t)=-16t^2+11t+25

So this is the equation of a parabola because the object is a projectile so it follows the Projectile Motion.

The object fall back to the ground when s(t)=0 so:

-16t^2+11t+25=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ t_{12}=\frac{-b\pm \sqrt{b^2-4ac}}{2a} \\ \\ a=-16 \\ \\ b=11 \\ \\ c=25 \\ \\ \\ t_{12}=\frac{-11\pm \sqrt{11^2-4(-16)(25)}}{2(-16)} \\ \\ t_{12}=\frac{-11\pm 41.48}{-32} \\ \\ t_{1}=\frac{-11+ 41.48}{-32}=-0.95s \\ \\ t_{2}=\frac{-11- 41.48}{-32}=1.64s

Since time can't be negative, we only choose the positive value. therefore:

<em>The object fall back to the ground after 1.64 seconds</em>

<em></em>

<h2>Learn more:</h2>

Projectile motion: brainly.com/question/12554459

#LearnWithbrainly

You might be interested in
How many seconds are there in 203060708030506040 hours?​
xenn [34]

Answer:

in 203060708030506040 hours there are 203060708030506040×60 seconds

4 0
2 years ago
What is measurement<br>​
Hatshy [7]

Answer:

The comparision of an unknown physical quantity with a known standard quantity is measurement

8 0
3 years ago
Read 2 more answers
Please put the the right answer
shutvik [7]

Answer:

5/8

Step-by-step explanation:

i took the test hope this helps

4 0
3 years ago
Find the derivative of Y=2xcos2x​
Nastasia [14]

Answer:

Y' = -xsin(2x) + 2cos(2x)

Step-by-step explanation:

For this problem, we will need to use the product rule since you have two terms that contain the variable x.

The product rule is simply as follows:

The derivative of the function is the product of the first term times the derivative of the second term plus the derivative of the first term times the second term.

Note the derivative of 2x with respect to x, is 2.

Note the derivative of cos(2x) with respect to x is (-1/2) sin(2x).

With this in mind, let's find the derivative of our function with respect to x.

Y = 2xcos2x

Y = 2x * cos(2x)

Y' = 2x * (-1/2)sin(2x) + 2 * cos(2x)

Y' = (2x * -1 / 2) sin(2x) + 2 * cos(2x)

Y' = (-x)sin(2x) + 2cos(2x)

So the derivative of our function is Y' = -xsin(2x) + 2cos(2x) according to the application of the product rule.

Cheers.

3 0
2 years ago
The perimeter cf a rectangle i: 56 inches" the ratio of the length of the width is 6 : 1. Find the length and the width.
sergejj [24]

Answer: Length = 24; width =4

Step-by-step explanation

Since the ratio of the length to width is 6:1

Let the length  be represented as  6x

And the width be  = x

Such that that the Perimeter of the rectangle which is  

Perimeter = 2(length + width)  becomes

56 = 2(6x + x)

56/2 = 6x+x

28 = 7x

x = 4

Width = 4

Length = 6x= 6 x 4 = 24

8 0
2 years ago
Other questions:
  • Which expression is equivalent to the expression below? Select all that apply. –2/5(15 – 20d + 5c)
    9·1 answer
  • The odds against a spinner showing an even number are 3:8. What is the probability of the spinner showing an even number?
    11·1 answer
  • 65 POINTS!!! Amy works at the Apple Store at a commission rate of 3%. Ipads are 18% off on Mac Mondays. She helps a customer who
    12·1 answer
  • The path between three landmarks in a national park form a right triangle. The oldest living evergreen tree is at point​ A, the
    10·1 answer
  • If mzA is less than 90°, then ZA is an acute angle. mzA = 75°. What can
    10·1 answer
  • Rachel wants to know the mean price of all the sunglasses on a display rack.
    6·2 answers
  • HELLLLLLPPPPPPPPPPPPPPP
    12·1 answer
  • Pls help I will mark braniliest
    7·1 answer
  • Which expression is equivalent to 3(4y)<br> I WILL MARK BRAINLIEST
    14·1 answer
  • Adam rode in a bike-a-thon. At the end of each hour of the bike-a-thon, he recorded the total distance he had traveled since the
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!