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Mr.Kelly hits a baseball straight up into the air with an initial velocity of 93 feet per second. The height of the ball (in feet) can be modeled by h(t)-16t^2+93t+3 where t is the number of seconds after the ball made contact with the bat. a. Using the quadratic formula, how long does it take the ball to hit the ground?(Round to the nearest hundredth and use correct units.) b. Using the quadratic formula, when will the ball reach a height of 130 feet?(Round to the nearest hundredth and use correct units.) c. Find h(4). What does it mean in the context of this problem? d. Is the ball on the way up or down at h(4)?

 Apr 16, 2020
edited by Guest  Apr 16, 2020
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When the ball hits the ground   h = 0

sooo   h(t) = 0 = -16t^2 + 93t+3         Use QUadratic formula to find value of 't'

 

b.       130 = -16t^2 + 93t +3               again use quadratic formula  to find 't' ....there will be TWO of them

                                                                          ....one when ball is going up and one when it is coming down

 

c.     Put in '4' for   't' and calculate    h(4)    the height of the ball at t = 4 sec

          

             maximum height will occur at   t = -b/2a     if  4  is less than this value the ball is still going up....

                              if 4 = this value it is at maximum (not going up or down)     if 4 is > than this  , ball is coming down

 Apr 16, 2020

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