Given a set of time and velocity data: t=0:10 v=[0 0.5 1.1 1.9 3.1 5.4 8.1 10.1 13.1 15 19] Use MATLAB's diff command to determine the acceleration over each interval. Use the backward difference method and interp1 to calculate the acceleration at t=6.7 seconds.
% MATLAB Code t=0:10; v=[0 0.5 1.1 1.9 3.1 5.4 8.1 10.1 13.1 15 19]; tq = diff(v);vq1 = interp1(t,v,6.7)
Given a set of time and velocity data: t=0:10 v=[0 0.5 1.1 1.9 3.1 5.4 8.1...
6. 2762 Given a set of time and velocity data: t=0:10 v=[0 0.5 1.1 1.9 3.1 5.4 8.1 10.1 13.1 15 19] Use MATLAB's diff command to determine the acceleration over each interval. Use the forward difference method and interp1 to calculate the acceleration at t=6.7 seconds Part Description Answer Save Status A. Use the forward difference method and interp1 to calculate the acceleration at t=6.7 seconds (no units)
Q1 a) Use the following data to find the velocity and acceleration at t=10 seconds: Time, t, s 0 2 4 6 8 10 12 14 16 Position, x, m 0 1.7 2.8 4.3 5.5 6.4 7.5 8.1 8.4 Show proper working with each and every step b) The velocity “v” of a particle at distance “s” from a point on its linear path is given in the following data s(m) 0 2.5 5.0 7.5 10.0 12.5 15.0 17.5...
1) (25 pts) Given the following table of velocity data t (s) v(m/s) a) (6 pts) Estimate the position at 2 seconds (use 1/3 Simpson's rule) b) (6 pts) Estimate the acceleration at 2 seconds (use first order centered finite difference) c) (6 pts) Estimate the position at 3 seconds (use 3/8 Simpson's rule ) d) (7 pts) Estimate the acceleration at 3 seconds (use first order centered finite difference) 7 5 0 1 2 3 4 3 3.5 4...
Table t in seconds 0 10 15 25 30 40 45 20 35 v(t) in feet per second 274.27 179.23 141.4 108.83 80.80 56.68 35.91 18.04 2.65 223.19 Table II t in seconds 4. 5 14 15 24 25 34 35 44 45 232.8 v(t) in feet per second 223.19 148.52 39.82 35.91 5.55 141.4 86.08 80.80 2.65 Part IV: Analysis of the Model: Calculate the distance and acceleration using a model rather than data. 1100 462 -0.03t P The...
Numerical methods(a) Use the following data to find the velocity and acceleration at t = 10 seconds:Time (s):0246810121416Position (m):00.71.83.45.16.37.38.08.4Use second-order correct (i) centered finite-difference, and (ii) backward finite-difference methods. (b) Use the Taylor expansions for f(x +h), f(x+2h), f(x +3h) and derive the following forward finite-difference formulas for the second derivative. Write down the error term$$ f^{\prime \prime}(x) \approx \frac{-f(x+3 h)+4 f(x+2 h)-5 f(x+h)+2 f(x)}{h^{2}} $$
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
Below is a set of data that represents the velocity (in feet per second) of the final 45 seconds of the landing. At t 0, the plane is on its final descent. Table I t in seconds 10 20 25 30 45 5 15 35 40 v(t) feet per second 274.27 223.19 179.23 108.83 80.80 56.68 35.91 18.04 2.65 141.4 Table II t in seconds 4 5 14 15 24 25 34 35 44 45 v(t) in feet per second...
3. (10 marks) Suppose you measured the speed of a shuttlecock falling, and got the following data points time (s) velocity (m/s) 0.25 3.3 0.5 0.75 4.8 5.5 5.9 1.25 1.5 1.75 (a) Use a Riemann sum to approximate the total distance travelled by the shuttlecock (b) Use the trapezoidal rule to approximate the total distance travelled by the shuttlecock. (c) Use the central difference formula to approximate the acceleration of the shuttlecock when t =0.75 s. (d) A model...
Suppose the velocity V in meters per second) of a runner during the first few seconds of e race is given by t ins 0.5 11.5 2 2.5 V in m/s0 4 8.515.119 25 in the tv endpoint approximation and width 0.5 Plot these points in the plane. Sketch the velccity curve. Estimate the distance traveled by the runner by estimating the area under the velocity curve; use rectangles with heights given by a right endpoint approximation and width plane....
10) The velocity (t) of a particle as a function of time is given by (h) - 023 m/s) (4.1 m/s2)+- (62 m/s3)2. What is the average acceleration of the particle between t = 10 s and t - 205? A) - 15 m/s2 B ) 15 m/s2 C) -13 m/s2 D) O m/s2 E) 13 m/s2 11) A car starts from rest and accelerates uniformly at 3.0 ms2 toward the north. A second car starts from rest 60 s...