Asap the distance traveled, in feet, of a ball dropped from a tall building is modeled by the equation d(t) = 16t2 where d equals the distance traveled at time t seconds and t equals the time in seconds. what does the average rate of change of d(t) from t = 2 to t = 5 represent? a. the ball travels an average distance of 112 feet from 2 seconds to 5 seconds. b. the ball falls down with an average speed of 48 feet per second from 2 seconds to 5 seconds. c. the ball falls down with an average speed of 112 feet per second from 2 seconds to 5 seconds. d. the ball travels an average distance of 48 feet from 2 seconds to 5 seconds.

As with many math problems, there are at least a couple of ways you can work this.

1. Figure average rate of change in the usual way:

2. Realize that the downward speed is increasing at a constant rate (32 ft/s²), so the average speed on the interval will be the speed at the midpoint of the interval: t = (2+5)/2 = 3.5 seconds. Since the downward speed started from zero, at t=3.5, it is

(3.5 s)×(32 ft/s²) = 112 ft/s

_____

The appropriate choice is ...

... C.The ball falls down with an average speed of 112 feet per second from 2 seconds to 5 seconds.

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497