A race car completes a lap lap in 84 seconds. The speed of the vehicle is measured every 6 seconds from the start of the race, and is given in the following table in meters / second:
(the time is the first line, the speed is the second line)
How I calculate the length of the route? (Use the fact that distance is the integral of speed by time).
By using the standard trapezoidal rule $S=\sum_{i=1}^{14}(t_{i+1}-t_i)\frac{v_{i+1}+v_i}{2}=3v_1+6\sum_{i=2}^{14}v_i+3v_{15}$. Different integration rules would give slightly different answers. By the way, the nonzero speed at the start is weird.