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
yaroslaw [1]
3 years ago
13

The altitude of an object, d, can be modeled using the equation below. d=-16t^2+vh+h.where v is the initial velocity and h is th

e initial height.A catapult launches a stone with an initial velocity of 48 feet per second and an initial height of 0 feet. How long will the stone be in flight?
Mathematics
1 answer:
finlep [7]3 years ago
6 0

Answer:

The stone will be in flight for 3 seconds

Step-by-step explanation:

Given the equation;

d = -16t^2 + vt + h

Where;

v = the initial velocity

h = the initial height

Given;

v = 48 ft/s

h = 0

Substituting into function d;

d = -16t^2 + 48t + 0

d = -16t^2 + 48t

At the point of launch and the point of landing d = 0.

We need to calculate the values of t for d to be equal to zero.

d = -16t^2 + 48t = 0

-16t^2 + 48t = 0

Factorising, we have;

16(-t+3)t = 0

So,

t = 0 or -t+3 = 0

t= 0 or t =3

Change in t is;

∆t = t2 - t1 = 3 - 0

∆t = 3 seconds.

The stone will be in flight for 3 seconds.

You might be interested in
Jeans are on sale for 20% off the regular price. Which function would give you the total cost for purchasing a pair of jeans tha
DaniilM [7]

Answer:

0.8X = Final cost

Step-by-step explanation:

Given that jeans are on sale for 20% off the regular price, to determine which function would give you the total cost for purchasing a pair of jeans that costs X dollars, the following calculation must be performed:

1X = Initial cost of the jeans

20% = 0.2

1 - 0.2 = 0.8

0.8X = Final cost

3 0
3 years ago
Ava's credit card balance is $64. If she makes a $25 payment, then charges $79, find the balance on the card.
DiKsa [7]
Answer : 118 or -40


Explanation I didn’t know which one you meant
6 0
3 years ago
Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With ho
nirvana33 [79]
Maria started with 29 boxes
5 0
3 years ago
Share 32 beads to the ratio of 6:10​
olga55 [171]

Answer:

it's 6:10

12:20

Step-by-step explanation:

when u add 6+10 u get = 16

then divide 32 beads from 16.

then u get a value of a bead ...n it's 2.

<em> </em><em>think</em><em> </em><em>u</em><em> </em><em>can</em><em> </em><em>understand</em><em> </em><em>my</em><em> </em><em>answer</em><em>.</em><em>.</em><em>.</em><em>.</em>

5 0
3 years ago
Read 2 more answers
Rich is comparing the cost of maintaing his car with the depreciating value of the car. When will the cost and value be the same
goldfiish [28.3K]

Complete question:

Rich is comparing the cost of maintaining his car with the depreciation value of the car.

The value starts at $20,000 and decreases by 15% each year. The maintanance cost is $500 the first year and increases by 28% per year.

When will the maintenance cost and the value be the same.

Answer:

9 years

Step-by-step explanation:

Depreciation is modeled by an exponential function :

A = p(1 - r)^t [decrease, '-']

A = 20,000(1 - 0.15)^t

A = 20000(0.85)^t - - - (1)

Maintainace cost :

A = p(1 + r)^t ; [increase, '+']

A = 500(1 + 0.28)^t

A = 500(1.28)^t - - - (2)

Equating (1) and 2

20000(0.85)^t = 500(1.28)^t

1.28^t / 0.85^t = 20000/500

(1.28 / 0.85)^t = 40

Take log of both sides

Log (1.28 / 0.85)^t = log 40

t * 0.1777910 = 1.6020599

t = 1.6020599 / 0.1777910

t = 9.01

t = 9 years

8 0
3 years ago
Other questions:
  • When p = 12, t = 2, and s = 1/6 , r = 18. If r varies directly with p and inversely with the product of s and t, what is the con
    13·2 answers
  • Each letter of the alphabet is written on a piece of paper and put in a hat. If a piece of paper is chosen at random, what is th
    13·2 answers
  • Which values are solutions to the inequality below? Check all that apply​
    9·1 answer
  • To find the quotient of 156.38 and 100, move the decimal point in 156.38 (two four three five) places to the (left,right)
    8·2 answers
  • PLEASE HELP ME WITH MATH!
    11·2 answers
  • Angle a =
    11·1 answer
  • Consider the line y = 7x-5.
    5·2 answers
  • Given the figure below, which statement correctly completes the following? ABE and HCD are what type of angles
    9·1 answer
  • &gt; Which expression is equivalent to 1/3b - 7
    9·2 answers
  • a ladder on a fire truck has its base 6 ft above the ground. the maximum length of the ladder is 100 ft. if the ladder's greates
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!