A heavy train initially stopped begins moving. The table shows the train's acceleration a in miles/hour/hour as a function of time measured in hours

hours a(m/h/h)
See attached table.

Let f(t) = integral from 0 to t of a(x)dx.

A) Use the midpoint Riemann Sum with 5 subdivisions of equal length to approximate f(1).

B) Explain what f(1) is, and give its units of measure.
C) Assume the acceleration is constant on the interval [0.1,0.2]. How far does the train travel during this interval? Include units of measure. Show how you arrived at your answer.

Question

A heavy train initially stopped begins moving. The table shows the train's acceleration a in miles/hour/hour as a function of time measured in hours

hours a(m/h/h)
See attached table.

Let f(t) = integral from 0 to t of a(x)dx.

A) Use the midpoint Riemann Sum with 5 subdivisions of equal length to approximate f(1).

B) Explain what f(1) is, and give its units of measure.
C) Assume the acceleration is constant on the interval [0.1,0.2]. How far does the train travel during this interval? Include units of measure. Show how you arrived at your answer.

jennychan12 · Answer

attachment

jennychan12 · Answer

i don't really know what formula to use for part a

and i know for part c, you're supposed to take the integral of the integral to get the total distance, but how exactly...?

anonymous · Answer

For part a you can just use right endpoint rule.

jennychan12 · Answer

oh. it'll be the same answer?