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:

1. minimum

2. 6400

3. eight

hope this !

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b