Asked by xiny
Speedometer readings for a motorcycle at 12-seconds intervals are given in the table.
t (sec) 0 12 24 36 48 60
v (ft/sec) 22 26 29 23 23 30
(a) Estimate the distance, in feet, traveled by the motorcycle during the time interval from 0 to 60 seconds using the velocities at the beginning of the time intervals.
(b) Give another estimate using the velocities at the end of the time periods.
t (sec) 0 12 24 36 48 60
v (ft/sec) 22 26 29 23 23 30
(a) Estimate the distance, in feet, traveled by the motorcycle during the time interval from 0 to 60 seconds using the velocities at the beginning of the time intervals.
(b) Give another estimate using the velocities at the end of the time periods.
Answers
Answered by
oobleck
(a) you want the Left Sum, so that is
12(f(0)+f(12)+f(24)+f(36)+f(48))
(b) the RS is just
12(f(12)+f(24)+f(36)+f(48)+f(60))
12(f(0)+f(12)+f(24)+f(36)+f(48))
(b) the RS is just
12(f(12)+f(24)+f(36)+f(48)+f(60))
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