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
The table below represents a linear function f(x) and the equation represents a function g(x):
Aneli [31]
Slope of f(x)


Slope of g(x)


PART A)
The slopes of f(x) and g(x) are the same.

PART B)
The equation for line f(x)
y = 4x + b
-1 = 4(0) + b
-1 = b

y = 4x - 1

The function G(x) has a bigger y-intercept. The y-intercept of g(x) is 3, while the y-intercept of f(x) is -1.
4 0
3 years ago
this weekend you're going to go kayaking down the Colorado River. the rental shop charges $13.00 to rent a kayak with paddles pl
SCORPION-xisa [38]
You would owe the rental shop 54 dollars 

13.00 x 5.00 = 18.00

since it is per hour you multiply 18.00 x 3

3 stands for the hours you kayaked 

and that gives you 54 

therefore your answer is 54<span />
5 0
3 years ago
Read 2 more answers
4x+5y=-35? A) y=-4/5x-7 B)y=1/5x-7 C)y=-7x+1/5 D)y=7x+1/5
dalvyx [7]
The answer is. A) y=-4/5x-7
Just compare, and they will equal each other.
3 0
3 years ago
If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).
katrin [286]

Answer:

a is answer correct i think

Step-by-step explanation:

7 0
3 years ago
Need help with this trigonometry word problem
creativ13 [48]

The distance between the tree and the tower is 30√3m.

Justification:

<u>Let the situation be in a right angleABC form as shown in attached figure</u>.

<u>Given the height of the tower is 30m and the angle of depression to the base of the tree measure 30°</u>.

So, In ΔABC

tanθ = p/b

tan30° = 30/BC

1/√3 = 30/BC

BC = 30√3m.

6 0
3 years ago
Read 2 more answers
Other questions:
  • M&lt;2 64 and m&lt;4 =2x-6
    14·1 answer
  • The life in hours of a battery is known to be approximately normally distributed, with standard deviation σ = 1.25 hours. A rand
    8·1 answer
  • Analyze the diagram below and complete the instructions that follow.
    9·1 answer
  • To which set or sets does the number 8 belong?
    8·2 answers
  • Answer correctly please
    10·2 answers
  • Tom has a part-time job. On Wednesday, Tom earned $20.50, and on Thursday he earned $36.21. On Friday, Tom earned twice as much
    14·1 answer
  • WILL MARK YOU BRAINLIEST HELP ASAP
    6·1 answer
  • Is x=2 a solution? <br> 1. -2(x-4)=4<br> 2. 26/x=13<br> 3. 4(x-1)-3(x-2)=-08
    9·2 answers
  • Solve for xx. Express your answer as a proper or improper fraction in simplest terms.
    13·2 answers
  • Henry scored 32 marks out of 80. Find her Pertentage score
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!