2. The data of the velocity of a body is given as a function of time...

2. The data of the velocity of a body is given as a function of time in the table below. Determine the value of the velocity at t=16 seconds using: (this is the table)

t(s) 0 15 18 22

v(t) 22 24 37 25

a) Newton’s divided difference first order polynomial method.

b) Newton’s divided difference second order polynomial method.

c) Newton’s divided difference third order polynomial method.

Solutions

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

Using MATLAB: The velocity, v, and the distance, d, as a function of time, of a...

Using MATLAB: The velocity, v, and the distance, d, as a function of time, of a car that accelerates from rest at constant acceleration, a, are given by = a n d = 12 Determine v and d at every second for the first 10 seconds for a car with acceleration of = 15 ft/s2. Your output must have exactly the same format as the template table below. Note that dots have been added to the table below; you can...

1. Suppose the velocity of a moving object is given by the function f(t) = √...

1. Suppose the velocity of a moving object is given by the function f(t) = √ t for the time interval 0 ≤ t ≤ 2 sec. Approximate the total distance this object travels during this entire time interval with: (a) (4 pts) a Left-Hand Riemann sum using n = 4 rectangles. Write out the terms in the sum, but DO NOT evaluate it. (b) (4 pts) a Right-Hand Riemann sum using n = 6 rectangles. Write out the terms...

Velocity potential function in the velocity field is given asØ=1axyt:a-Is the flow compressible ?(3p)b-Show the flow...

Velocity potential function in the velocity field is given asØ=1axyt:a-Is the flow compressible ?(3p)b-Show the flow is steady ornot?(3p)c-In this flow field, find the resultant velocity and acceleration and their components at point A(8,8) at time t=1.(5p)d-Find the stream function for this flow.(7p)e-If the particle passing through the point (x0, y0)=(8, 8) is marked at time t=0, determine the location of the particle at time t=4s.(7p)

The velocity function of a particle moving along a line is given by the equation v(t)...

The velocity function of a particle moving along a line is given by the equation v(t) = t2 - 2t -3. The particle has initial position s(0) = 4. a. Find the displacement function b. Find the displacement traveled between t = 2 and t = 4 c. Find when the particle is moving forwards and when it moves backwards d. Find the total distance traveled between t = 2 and t = 4 e. Find the acceleration function, and...

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =...

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = 2 cos(t), 2t, 2 sin(t)

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =...

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = 9 cos(t), 8 sin(t) v(t) = a(t) = |v(t)| = Sketch the path of the particle and draw the velocity and acceleration vectors for t = π 3 .

The velocity function for a particle moving along a straight line is given by v(t) =...

The velocity function for a particle moving along a straight line is given by v(t) = 2 − 0.3t for 0 ≤ t ≤ 10, where t is in seconds and v in meters/second. The particle starts at the origin. (a) Find the position and acceleration functions for this particle. (b) After ten seconds, how far is the particle from its starting point? (c) What is the total distance travelled by the particle in the interval [0, 10]?

A bulldozer’s velocity (in m/s) at a time t is given by v(t)=t^2-t+3. (a)Estimate the displacement...

A bulldozer’s velocity (in m/s) at a time t is given by v(t)=t^2-t+3. (a)Estimate the displacement of the bulldozer on the time interval using 0≤t≤5 Midpoint Riemann Sum with 10 subintervals. Specify the value of,n ,Δx, and the chosen sample points. (b)Find the exact displacement of the object on the time interval 0≤t≤5 using the limit definition of the definite integral. Thank you,

A particle moves along a line with velocity function ?(?) = ?^2 − ?, where v...

A particle moves along a line with velocity function ?(?) = ?^2 − ?, where v is measured in meters per second. a. Find distance traveled by the particle in time interval [0, 6] seconds. b. Find the net displacement. 8. Estimate the area from -1 to 9 under the graph of f(x) = 81 – x^2 using five approximating rectangles and midpoints as sample points.

Use the following time-series data to answer the given questions. Time Period Value 1 27 2...

Use the following time-series data to answer the given questions. Time Period Value 1 27 2 30 3 58 4 63 5 59 6 67 7 70 8 86 9 101 10 97 a. Develop forecasts for periods 5 through 10 using 4-month moving averages. b. Develop forecasts for periods 5 through 10 using 4-month weighted moving averages. Weight the most recent month by a factor of 4, the previous month by 2, and the other months by 1. c....

Subjects