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MATHEMATICS - CASE STUDY

    Introduction



Kicking Ball

 

A ball is kicked upward and then falls back down to its initial spot. Eddy wonders the maximum altitude will be if he knows the altitute as a function of time. .

What is known:

  • The altitude function of the kicked ball is
    s = 30t - 5t2.
  • The units for displacement and velocity are m and m/s respectively
     
  Questions


Displacement Diagram
 

What is the maximum altitude the ball goes up?

   
  Approach

 
  • At the maximum altitude, the velocity of the ball is 0.
  • Recall that velocity is simply the time derivate of displacement.