Answer Happy

b) The speed v(t) of an object travelling in a straight line is recorded at regular intervals in time as shown in the table below. 0 2 4 6 8 t(s) v (m/s) 10 12 14 16 18 10 10 8 4 3 7 10 13 14 12 Use the multiple-application form of the trapezoidal rule to find the distance travelled by the object in the 18 seconds from the start. [6] c) Assume the time values given in the table in b) are stored in a vector t and the velocity values in a vector v with the same number of elements n, and h t (2) -t (1). (i) Calculate the acceleration at to-Os and ts=10s numerically. Justify your choice of method and state the order of the error term, respectively. (ii) Provide a MATLAB script that calculates the acceleration, stored in a vector a for all discrete times given. [12]