Readings at 12 second intervals. Estimate distance traveled Deltax= 12
t (s) 0 12 24 36 48 60 v (ft/s) 32 28 24 22 24 28
1. estimate distance using the velocities in the beginning of the time intervals:
=156 = 12(28+24+22+24+0)=L6 This is correct
2. give another estimate at the end of the time intervals.
I did 12(32+28+24+22+24+28) = 1896 =R6 Which is wrong
Are your estimates in parts (a) and (b) upper and lower estimates? Explain.
a (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.
b (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t.
c. (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t
I chose b but it's wrong. But I believe it is choice c since the intervals are an irregular curve