How long does it take the baseball to reach its maximum

1.44 s

Step-by-step explanation:

The expression that describes the height of the baseball at time t is:

where

6 ft is the initial heigth of the baseball at t = 0 s

+46 ft/s is the initial velocity of the baseball

is the acceleration of the baseball, downward

We can find an expression for the velocity of the baseball by calculating the derivative of the heigth; therefore we find:

(1)

The baseball reaches its maximum height when the vertical velocity becomes zero, so when

v(t) = 0

Substituting this into (1) and solving for t, we find the time at which this happens:

answer: the common difference is -0.10

$35.59 in pounds

step-by-step explanation: