Marsha serves the volleyball to rhonda with an upward velocity of 14.5 ft./s. the bar is 4 feet above the ground when she strikes it. how long does rhonda have to react, before the volleyball hits the ground? round your answer to two decimal places.

The taken by Rhonda to react before volleyball hits ground is 2.39 seconds

Step-by-step explanation:

Given as :

The upward velocity of the volleyball = 14.5 ft/s

The height of the ball above ground = 4 feet

Consider value of acceleration due to gravity = 9.8 m/s

Let the time for Rhonda to react before ball hits ground = t sec

Now,

S = u t + a t²

where s = height

          u = initial velocity  , a = acceleration due to gravity , t = time in sec

So, 4 = 14.5× t + × 9.8 × t²

or, 4 = 14.5 t + 4.9  t²

or, 4.9  t² + 14 .5 t - 4 = 0

Now, solve for t

 t =

or, t =  

Or, t =

Or, t = - 2.39 , - 2.76

Hence The taken by Rhonda to react before volleyball hits ground is 2.39 seconds . Answer

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5