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Table Q2(a) gives the values of distance travelled by a car at various times from a traffic light. Given that velocity, v = x' (t) and acceleration, a = v'(t). Solve the following: (i) Approximate SIX (6) values of the car's velocity at t = 7.5min using appropriate difference formula and a consistent step size. Answers must be in 3-decimal points.

Table Q2(a) gives the values of distance travelled by a car at various times from a traffic light. Given that velocity, v = x' (t) and acceleration, a = v'(t). Solve the following: (i) Approximate SIX (6) values of the car's velocity at t = 7.5min using appropriate difference formula and a consistent step size. Answers must be in 3-decimal points.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Table Q2(a) gives the values of distance travelled by a car at various times from a traffic light. Given that velocity, v = x'(t) and acceleration, a = v'(t). Solve the following: Q2 (a) Approximate SIX (6) values of the car's velocity att = 7.5min using appropriate difference formula and a consistent step size. Answers must be in 3-decimal points. (i) (ii) Which of the formula that you used in Q2(a)(i) potentially could provide the best approximation? Give a justification for your answer. (iii) Find the approximate acceleration of the car (in 3-decimal points) at distance 12km by considering as much data as possible.
Transcribed Image Text:Table Q2(a) gives the values of distance travelled by a car at various times from a traffic light. Given that velocity, v = x'(t) and acceleration, a = v'(t). Solve the following: Q2 (a) Approximate SIX (6) values of the car's velocity att = 7.5min using appropriate difference formula and a consistent step size. Answers must be in 3-decimal points. (i) (ii) Which of the formula that you used in Q2(a)(i) potentially could provide the best approximation? Give a justification for your answer. (iii) Find the approximate acceleration of the car (in 3-decimal points) at distance 12km by considering as much data as possible.
Table Q2(a): Distance as a function of time Time, t (min) Distance,x (km) 3.0 4.600 4.0 6.271 4.5 7.055 5.0 8.030 5.5 8.518 6.5 10.996 7.0 12.000 7.5 13.222 8.5 15.007 9.0 16.285 9.5 17.200 10.0 18.096 11.00 19.904
Transcribed Image Text:Table Q2(a): Distance as a function of time Time, t (min) Distance,x (km) 3.0 4.600 4.0 6.271 4.5 7.055 5.0 8.030 5.5 8.518 6.5 10.996 7.0 12.000 7.5 13.222 8.5 15.007 9.0 16.285 9.5 17.200 10.0 18.096 11.00 19.904
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