Part A An object dropped on an asteroid falls y = 0.40t^2 feet in the first t seconds. Which of the following best
represents the object's average speed during the time interval from 1 s to 4 s?

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

answer: the answer is e

step-by-step explanation: