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
Lorico [155]
2 years ago
13

Prove that the trajectory of a projectile is parabolic, having the form y = ax + bx2. To obtain this expression, solve the equat

ion x = v0xt for t and substitute it into the expression for y = v0yt − 1 2 gt2. (These equations describe the x and y positions of a projectile that starts at the origin.) You should obtain an equation of the form y = ax + bx2 where a and b are constants.
Mathematics
1 answer:
olga_2 [115]2 years ago
8 0

Answer: y = v₀tgθx - gx²/2v₀²cos²θ

a = v₀tgθ

b = -g/2v₀²cos²θ

Step-by-step explanation:

x = v₀ₓt

y = v₀y.t - g.t²/2

x = v₀.cosθt → t = x/v₀.cosθ

y = v₀y.t - g.t²/2

v₀y = v₀.senθ

y = v₀senθ.x/v₀cosθ - g/2.(x/v₀cosθ)²

y = v₀.tgθ.x - gx²/2v₀²cos²θ

a = v₀tgθ → constant because v₀ and θ do not change

b = - g/2v₀²cos²θ → constant because v₀, g and θ do not change

You might be interested in
Write and solve a real-world problem that can be modeled by the equation 0.75x-18.50=0.65x
Scilla [17]
Diana had chocolate, and ate some, leaving 0.75 of it for Sarah.

Sarah ate 18.5 grams of it and return the rest to Diana, which was 65% of the original chococate.

how much chocolate did Diana have at the beginning?

and the solution is:

0.75x-18.50=0.65x

0.75x-0.65x=18.50
0.1x=18.50
x=185

so Diana had 185 grams of chocolate.



6 0
3 years ago
Profit P(x), is the difference between revenue, R(x), and cost, C(x), so P(x)=R(x)-C(x). Which expression represents P(x), if R(
siniylev [52]

Answer:

P(x)= x ^4-3x^3+x^2-4    

Step-by-step explanation:

Given data

R(x) = 2x ^4-3x^3+2x-1

c(x)=x^4-x^2+2x+3

We know that

P(x)=R(x)-C(x)

Hence

P(x)= 2x ^4-3x^3+2x-1-(x^4-x^2+2x+3)

open bracket

P(x)= 2x ^4-3x^3+2x-1-x^4+x^2-2x-3

Collect like terms

P(x)= 2x ^4-x^4-3x^3+x^2-2x+2x-3-1    

P(x)= x ^4-3x^3+x^2-4    

4 0
3 years ago
Twinks are a social experiment
KIM [24]

Answer:

Step-by-step explanation:

whT

6 0
2 years ago
Can someone solve these for me please
Grace [21]

Answer:

2. 16

3. 46

4. 59

Step-by-step explanation:

5.The measure of smaller angle is 87 degrees.

Step-by-step explanation:

Consider the provided information.

The provided angles are 3x degree and 2x + 25 degree.

Two angles are said to be Supplementary angles if their sum is 180 degree.

It is given that the provided angle are supplementary angles, thus

3x + 2x + 25 = 180

5x + 25 = 180

5x  = 180 - 25

5x  = 155

x = 31

Now, substitute the value of x in first angle i.e 3x.

3(31) = 93

Substitute the value of x in the second angle i.e 2x + 25

2(31) + 25 = 62 + 25 = 87

Hence, the measure of smaller angle is 87 degrees.

8 0
2 years ago
(30 points!) Which equation of the least squares regression line most closely matches the data set?
snow_tiger [21]
4. it makes the most sense to me.

3 0
3 years ago
Read 2 more answers
Other questions:
  • The cost of a bus for a field trip was split evenly between the 120 students going. But the day before the trip, 30 more student
    13·2 answers
  • Write a rule about the angle measures of an isoceles right triangle​
    6·1 answer
  • Can anyone answer this question plz<br> What is 603.185 rounded to the nearest tenth
    8·2 answers
  • How much would I have to deposit now in order to have 150,000 in 18 years
    5·1 answer
  • I need to know the pounds required. I started some of the steps but I feel like I messed up somewhere
    15·1 answer
  • You buy a car that is worth $15000. However, every year the car loses its value by 22 percent. Determine how
    10·1 answer
  • Your final bill at the restaurant is $120 including a 20% tip. What was the cost of the original bill?
    9·2 answers
  • Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?
    9·1 answer
  • Solve for b.<br><br> 8b−1=24b+4<br><br><br> ans = -7
    7·2 answers
  • P(x)= 3x; find p(-6)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!