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
DIA [1.3K]
2 years ago
14

5.

Mathematics
1 answer:
Delicious77 [7]2 years ago
6 0

You can solve for the velocity and position functions by integrating using the fundamental theorem of calculus:

<em>a(t)</em> = 40 ft/s²

<em>v(t)</em> = <em>v </em>(0) + ∫₀ᵗ <em>a(u)</em> d<em>u</em>

<em>v(t)</em> = -20 ft/s + ∫₀ᵗ (40 ft/s²) d<em>u</em>

<em>v(t)</em> = -20 ft/s + (40 ft/s²) <em>t</em>

<em />

<em>s(t)</em> = <em>s </em>(0) + ∫₀ᵗ <em>v(u)</em> d<em>u</em>

<em>s(t)</em> = 10 ft + ∫₀ᵗ (-20 ft/s + (40 ft/s²) <em>u</em> ) d<em>u</em>

<em>s(t)</em> = 10 ft + (-20 ft/s) <em>t</em> + 1/2 (40 ft/s²) <em>t</em> ²

<em>s(t)</em> = 10 ft - (20 ft/s) <em>t</em> + (20 ft/s²) <em>t</em> ²

You might be interested in
How many halves are in 3/2
andrezito [222]

Answer:

3 halves are in 3/2.

Step-by-step explanation:

The numerator says that there are 3 pieces, and the denominator says the pieces are halves. Therefore, there are three halves.

I hope this helps.

7 0
2 years ago
How do I solve this <br> t + 1 = -3
MrRa [10]
Solve for t. Simply sense its +1, do the opposite and minus 1 from both sides of the equation. +1 - 1 = 0; -3 -1 = -4. Therefore, t = -4 is the correct solution.
3 0
3 years ago
Read 2 more answers
Evaluate the expression below when x = 6 and y = 2. 6x2y3
Simora [160]

Answer:

I think that the answer is 432.

Step-by-step explanation:

6x2y3.We have x as 6 and y as 2.So we replace them with their numbers.

We'll have 6*6*2*2*3 which will give us 432. I HOPE THIS HELPS.

4 0
2 years ago
What is the value of X?
matrenka [14]

Answer:

48

Step-by-step explanation:

The sum of angles of a triangle is 180

<V + <P + <M = 180

47+85+x = 180

132 +x = 180

Subtract 132 from each side

132-132+x = 180-132

x =48

3 0
3 years ago
Read 2 more answers
All of the following represent the same function except ____.
Whitepunk [10]

Answer:

I believe it's C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • A car is traveling at a speed of 75 km/h. Compute the speed of the car in m/s.
    7·1 answer
  • If your annual gross income is $62,000 and you have one monthly car payment of $335 and a monthly student loan payment of $225,
    8·1 answer
  • Factor the polynomial completely.<br> (y - 8)^2 - 16
    14·1 answer
  • What value of x the given expression is undefined x+4/x-4​
    9·1 answer
  • Evaluate the following expression 2(1,0) -3(2,-1)<br> A-(2,3)<br> B-(-4,3)<br> C-(-3,-2)<br> D-(2,3)
    15·2 answers
  • PLEASE HELP ASAP it’s for distribution <br> Area model (algebraic) :(
    14·1 answer
  • A grocery store recently sold a bag of peanuts for $0.76 and a bag of pistachios for $3.68. At the end of that day, 50 bags of p
    7·1 answer
  • What is the equation in slope-intercept form of the line that passes through the point(-4,7) and is perpendicular to y=4x+15
    12·1 answer
  • Which of the following statement(s) is/are true about rectangles? i. The diagonals are congruent. ii. All sides are congruent. i
    11·2 answers
  • F(x) = 4 (2.5)^x-1<br> How do i find the 5th term of the sequence?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!