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A ball is kicked with an initial height of 0.75 meters and initial upward velocity of 22 meters/second. This inequality represents the time, t in
seconds, when the ball's height is greater than 10 meters.
-4.9t2 + 22t + 0.75 > 10
and
seconds.
The ball's height is greater than 10 meters when t is approximately between blank and blank seconds

t is between 0 seconds and 4.878

Step-by-step explanation:

Given:

Inequality:

Required

Determine the value(s) of t

To answer this question, we simply solve the inequality

Subtract 10 from both sides

Multiply through by -1

Solve the value of t using quadratic formula

Where

a = 4.9; b = -22 and c = -9.25

So:

Split the expression

   or      

   or    

  or  

Since t cannot be negative; Then

Hence; t is between 0 seconds and 4.878