(seconds) 10 40 60 B(t) (meters) 100 136 9. 49 v(t) (meters per second) 2.0 2.3 2.5 4.6 5. Ben rides a unicycle back and forth along a straight east-west track. The twice-differentiable function B models Ben's position on the track, measured in meters from the western end of the track, at time t, measured in seconds from the start of the ride. The table above gives values for B(t) and Ben's velocity, v(t), measured in meters per second, at selected times t. (a) Use the data in the table to approximate Ben's acceleration at timet = 5 seconds. Indicate units of measure. (b) Using correct units, interpret the meaning of v(t)| dt in the context of this problem. Approximate 60 Iv(t) dt using a left Riemann sum with the subintervals indicated by the data in the table.
(seconds) 10 40 60 B(t) (meters) 100 136 9. 49 v(t) (meters per second) 2.0 2.3 2.5 4.6 5. Ben rides a unicycle back and forth along a straight east-west track. The twice-differentiable function B models Ben's position on the track, measured in meters from the western end of the track, at time t, measured in seconds from the start of the ride. The table above gives values for B(t) and Ben's velocity, v(t), measured in meters per second, at selected times t. (a) Use the data in the table to approximate Ben's acceleration at timet = 5 seconds. Indicate units of measure. (b) Using correct units, interpret the meaning of v(t)| dt in the context of this problem. Approximate 60 Iv(t) dt using a left Riemann sum with the subintervals indicated by the data in the table.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.6: Optimization
Problem 24E
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Ben's Acceleration at time
from the table we can see that t is the average of and
So from here it is clear that question is about average acceleration
so we are
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