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.

Complete Question:

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

The ball's height is greater than 10 meters when t is approximately between __ and __ seconds

The ball's height is greater than 10 meters when t is approximately between 0.47 and 4.02 seconds

Step-by-step explanation:

Given

Required

Solve the inequality

Subtract 10 from both sides

Solve using quadratic formula

In this case;

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

Split

   or      

  or    

or  

Convert to inequality;

Hence;

The ball's height is greater than 10 meters when t is approximately between 0.47 and 4.02 seconds

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step-by-step explanation: