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
Alex
3 years ago
9

A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 151 feet pe

r second from an initial height of 95 feet off the ground, then the height of the projectile, h, in feet, t seconds after it's shot is given by the equation:
h = - 16t² + 151t +95

Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

Step-by-step explanation:

144 = -16t² + 151t + 95

  0 = -16t² + 151t - 49

quadratic formula

t = (-151 ±√(151² - 4(-16)(-49))) / (2(-16))

t = (-151 ± 140.23195) / -32

t = 0.34 s

t = 9.10 s

You might be interested in
Show that if u+v and u-v are orthognal, then the vectors u and v must have the same length.
pashok25 [27]

Answer with Step-by-step explanation:

We are given that

u+ v and u-v are orthogonal

We have to prove that u and v must have the same length.

When two vector a and b are orthogonal then

a\cdot b=0

By using the property

(u+v)\cdot (u-v)=0

We know that

(a+b)\cdot (a-b)=\mid a\mid^2-\mid b\mid^2

\mid u\mid ^2-\mid v\mid^2=0

\mid u\mid^2=\mid v\mid^2

Magnitude is always positive

When power of base on both sides are equal then base will be equal

Therefore,

\mid u\mid=\mid v\mid

Hence, the length of vectors u and v must have the same length.

5 0
4 years ago
As shown, a section of a roller coaster track (figure 3) follows the form of y=(2/3)x1.5. locate the centroid x? of the track be
LiRa [457]
F(x)=(2/3)x^1.5

The centroid position along the x-axis can be obtained by 
integrating the function * x to get the moment about the y-axis, 
then divide by the area of the graph,
all between x=0 to x=3.5m.

Expressed mathematically,
x_bar=(∫f(x)*x dx )/(∫ f(x) dx  limits are between x=0 and x=3.5m
=15.278 m^3 / 6.1113 m^2
=2.500 m
3 0
3 years ago
Find the product of 2/3 and 9/10<br> 4 points
Solnce55 [7]

Answer:(2/3) + (9/10) = 47/30

= 1 17/30

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Parker has $2,500 in her bank account that earns 3.8% interest annually. How much money will she have in her bank account after
svlad2 [7]

Answer:

$2,860

Step-by-step explanation:

2,500 * 3.8% = 90 in interest a year

so

90 * 4 = 360 in interest

add that to what she put in

2,860

3 0
3 years ago
Read 2 more answers
For 25 points:<br> x + 5 = 10<br> 2x + ? = 20<br> Answer for "?"
Phoenix [80]

Answer:

x= 5

?=10

Step-by-step explanation:

Mark me Brainliest Pls

8 0
3 years ago
Other questions:
  • Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients. She wants each ba
    5·2 answers
  • What is the domain of the set {(-3,5),(2,0),(7,-5)}?
    15·1 answer
  • I NEED A EXPLAINATION
    13·1 answer
  • What is 1.2 in expanded form
    7·1 answer
  • Please help me with this
    10·1 answer
  • A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104
    13·2 answers
  • Solve the equation<br> 5x=-7x+6
    15·2 answers
  • In a large population, 57 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that
    6·2 answers
  • Which line is the best model for the data in the scatter plot?
    11·2 answers
  • Each lap around the track takes Mike 3.5 minutes to walk.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!