In 1996 ato boldon of ucla ran the 100-meter dash in 9.92 seconds. in 1969 john carlos of san jose state ran the 100-yard dash in 9.1 seconds. what was the speed for each runner in yards per second?

speed of Ato Boldon was 11.02 yards per second and speed of John Carlos was 10.99 yards per second.

Step-by-step explanation:

In 1996 Ato Boldon ran 100 meter dash in 9.92 seconds.

Since 1 meter = 1.09361 yards

Therefore, 100 meters = 1.09361×100

                                      = 109.361 yards

By the formula Speed =

                                     =

                                     = 11.02 yards per second

John carlos ran 100 yards dash in 9.1 seconds.

Therefore, from the formula speed =

                                                         =

                                                         = 10.99 yards per second

Therefore, speed of Ato Boldon was 11.02 yards per second and speed of John Carlos was 10.99 yards per second.

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.