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
3 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]3 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
Write these numbers in order starting with the smallest 2.303,2.3,2.33,2.03
Law Incorporation [45]
2.03, 2.3, 2.303, 2.33
6 0
3 years ago
Read 2 more answers
The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length
Ivan

Answer:

We know that the kite with the tail is 15 feet and 6 inches. While 6 inches is 0,50 foot, it's 15,5 feet. If the lenght of the kite is x, then:

15,5 = x + 1,5 + 2x

15,5 = 3x + 1,5     / - 1,5 (both sides)

14 = 3x             / : 3 (both sides)

x ≈ 4,66

The kite is approx .4,66 feet long. It means that the tail is about 15,5 - 4,66 = 10,84 feet long.

5 0
3 years ago
Read 2 more answers
Can somebody help me on this thank you it will mean a lot
MaRussiya [10]

Answer:

your will be A

Step-by-step explanation:

hoped i helped and can i get brainiest pls

5 0
3 years ago
Please help with math
lesya [120]

Answer:

i think the third one

not sure though cause there are 8 yellow and so ya....

Step-by-step explanation:

7 0
2 years ago
3^4 + 2 ⋅ 5 = ____. (Input only whole numbers.)
meriva
91



Follow the order of operations.

3^4 + 2 * 5

81 + 2 * 5 (Exponent)

81 + 10 (Multiplication)

91 (Addition)



Please consider marking this answer as Brainliest to help me advance.
5 0
3 years ago
Other questions:
  • Use substitution to solve the linear system of equations.
    10·1 answer
  • Which of the graphs below correctly solves for x in the equation −x2 − 3x − 1 = −x − 4?
    5·1 answer
  • What equation can be used to show that the slope of the line is the same between any two points?
    9·1 answer
  • Help please must show work 1, 2, 3, 4
    13·2 answers
  • What is another name for a cord that passes through the center of a circle
    9·2 answers
  • Find the area of a circle whose diameter is 7cm​
    14·2 answers
  • The number of people that attended the first basketball game of the season was 840. The number of people attending the last bask
    6·1 answer
  • A group of 28 people bought tickets to a show. The tickets cost $23.98 each.
    13·1 answer
  • What is the slope of the line y = − 4?
    11·2 answers
  • A 6-kilograms<br> bag of potting soil costs $4.08. What is the unit price?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!