To check: If the result obtained by using left Reimann sum of velocity to estimate position is an overestimate or an underestimate of the position of the car or it is impossible to say.

Answer to Problem 1RWDT
The result obtained is an underestimate of the position of the car.
Explanation of Solution
Given information:
The starting position of car is at
Concept used:
If function is increasing, then its minimum value will always appear on the left side of each interval, and its maximum will always appear on the right side of each interval.
For increasing functions, the left Riemann sum is always an underestimate, and the right Riemann sum is always an overestimate.
The graph of velocity car must be increasing as it is showing positive acceleration.
Thus, the estimate of position obtained by using left Riemann sum is an underestimate value.
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Chapter 7 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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