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
ozzi
2 years ago
11

The velocity of a turtle is recorded at 1 minute intervals (in meters per second). Use the right-endpoint approximation to estim

ate the total distance the turtle travelled during the 5 seconds recorded.t (sec): 0 1 2 3 4 5V(t): 0.078 0.83 0.75 0.98 0.853 0.425
Mathematics
1 answer:
aliina [53]2 years ago
4 0

Answer:

The total distance that the turtle traveled during the 5 seconds recorded is Distance \:traveled\approx 3.838\:\frac{m}{s}

Step-by-step explanation:

To estimate distance traveled of an object moving in a straight line over a period of time, from discrete data on the velocity of the object, we use a Riemann Sum. If we have a table of values

\left\begin{array}{ccccccc}time\:=\:t_i&t_0=0&t_1&t_2&...&t_n\\velocity\:=\:v(t_i)&v(t_0)&v(t_1)&v(t_2)&...&v(t_n)\end{array}\right

where \Delta t=t_i-t_{i-1}, then we can approximate the displacement on the interval [t_{i-1},t_i] by v(t_{i}) \times\Delta t.

Therefore the distance traveled of the object over the time interval [0,t_n] can be approximated by

Distance \:traveled\approx |v(t_1)|\Delta t+|v(t_2)|\Delta t+...+|v(t_n)|\Delta t

This is the right endpoint approximation.

We are given a table of values for <em>v(t)</em>

\left\begin{array}{cccccccc}t(sec)&0&1&2&3&4&5\\v(t)&0.078&0.83&0.75&0.98&0.853&0.425\end{array}\right

Applying the right endpoint approximation formula we get,

\Delta t = 1\sec

Distance \:traveled\approx |v(t_1)|\Delta t+|v(t_2)|\Delta t+|v(t_3)|\Delta t+|v(t_4)|\Delta t+|v(t_5)|\Delta t\\\\Distance \:traveled\approx 0.83(1)+0.75(1)+0.98(1)+0.853(1)+0.425(1)\\\\Distance \:traveled\approx 3.838\:\frac{m}{s}

The total distance that the turtle traveled during the 5 seconds recorded is Distance \:traveled\approx 3.838\:\frac{m}{s}

You might be interested in
What times two equals 148
Ratling [72]
That would be 74 because when you divide 148/2=74
3 0
3 years ago
Read 2 more answers
One number is eight less than another. The sum of the numbers is 24
velikii [3]

Answer:

32

Step-by-step explanation:

a-8=24

clt

a=24+8

a=32

7 0
2 years ago
Write the equation of the line?<br><br><br><br> write the equation in standard form.
vlabodo [156]
Answer: y= 1

This because the line has no slope so the equation really looks like this if we were to follow the y=mx+b format.

y=mx+b
y= 0x + b

because the number "0" multiplied by any value is still zero we can exlude that from the final equation of the line. In this case since m=0, the line is y=b.

b is the y intercept, or the value of y when x = 0.

So, because y=1 when x is 0, "b"= 1

y=b
y=1

Any questions?
5 0
3 years ago
Viết tập hợp dưới dạng liệt kê <br> A = { x € Z : (x^2 + 5x - 6)(2x-1)=0}
love history [14]

Answer:

Step-by-step explanation:

A={1;-6;1/2}

6 0
2 years ago
Which is the graph of g(x) = ⌈x + 3⌉? HELPP ASAPP
Helen [10]

Answer: The answer is the second graph, attached herewith.

Step-by-step explanation: The given greatest integer function is

g(x)=[x+3].

We are to select the correct graph of the above function from the given four optional graphs.

We have

g(x)=3,~\textup{for }0\leq x

g(x)=4,~\textup{for }1\leq x

g(x)=5,~\textup{for }2\leq x etc.

These points are satisfied by the second graph only, so this will be the correct one.

Thus, the second graph is the correct option and its image is attached.

4 0
3 years ago
Other questions:
  • Solve this problem. 10^3 * 2^3
    14·1 answer
  • For the right triangle shown, which expression represents the length of CA?
    5·1 answer
  • Solve the following problem: –25 + 37 =
    10·2 answers
  • ∆ABC with Prove: Statement Reason 1. given 2. ∠CAB ≅ ∠EDB ∠ACB ≅ ∠DEB If two parallel lines are cut by a transversal, the corres
    10·1 answer
  • Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants
    11·1 answer
  • I have a question with a mathematical problem that I have! If m
    13·2 answers
  • The sum of the squares of three consecutive integers is 509. Determine the integers.
    5·1 answer
  • Why are 5 and -5 opposites?
    13·1 answer
  • Find a<br> a.<br> Round to the nearest tenth:<br> 27 cm<br> 102°<br> 28
    15·1 answer
  • Can you help me with this thank you
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!