Ocean currents (miles/hr) at a certain location are given below
Time of day: Speed mph:
8:00 am 17
8:10 am 20
8:20 am 22
8:30 am 21
8:40 am 17
How can I estimate the average river current speed from 8:00 am to 8:40 am using the trapezoidal rule? I tried but I got a huge number.
The units are unimportant, the integrand is of the order of mph, so the integral over mins is ~ , and dividing by gives a mean ~ mph, there is no problem of units.
Applying the trapesiaum rule gives for the integral:
So to get the average speed we divide the integral by to get mph
RonL