Mr Omar is a cyclist who is preparing himself for a tounament next month at Kuala Lumpur. The velocity, v), of his c...
Mr Omar is a cyclist who is preparing himself for a tounament next month at Kuala Lumpur. The velocity, v), of his cycling at different time, t, recorded during one of his trainings are shown in Table 3 Table 3: Cyeling Velocities nt Different Times Time (min) 2 3.25 45 6 7 8 9 95 Velocity (m/s) 56 5.5 7 8.5 86 7 7 a) Determine the distance y) in meter travelled by Mr Omar by using the best combination of Newton-Cotes integration method from 1 to 10 min. (20 Marks) b) The cubic equation to fit the data in Table 3 is given by Equation 2: r(t)--0.016H + 0.163t2 + 0.07% + 4.85 Eq. 2 Determine the distance (y) in meter travelled by Mr Omar from 1 to 7 min using I min, y 5 m/s and it is also Euler's method with a step size of 2. Note that at r -r(t). given that (15 Marks)
Mr Omar is a cyclist who is preparing himself for a tounament next month at Kuala Lumpur. The velocity, v), of his cycling at different time, t, recorded during one of his trainings are shown in Table 3 Table 3: Cyeling Velocities nt Different Times Time (min) 2 3.25 45 6 7 8 9 95 Velocity (m/s) 56 5.5 7 8.5 86 7 7 a) Determine the distance y) in meter travelled by Mr Omar by using the best combination of Newton-Cotes integration method from 1 to 10 min. (20 Marks) b) The cubic equation to fit the data in Table 3 is given by Equation 2: r(t)--0.016H + 0.163t2 + 0.07% + 4.85 Eq. 2 Determine the distance (y) in meter travelled by Mr Omar from 1 to 7 min using I min, y 5 m/s and it is also Euler's method with a step size of 2. Note that at r -r(t). given that (15 Marks)