SOLUTION: The height h, in feet, of a baseball above the ground t seconds after it is hit is given by h = -16^2 + 52t + 4.5. Use this equation to determine the number of seconds, to the nea

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The height h, in feet, of a baseball above the ground t seconds after it is hit is given by h = -16^2 + 52t + 4.5. Use this equation to determine the number of seconds, to the nea      Log On


   

Question 51072This question is from textbook Applied College Algebra
: The height h, in feet, of a baseball above the ground t seconds after it is hit is given by h = -16^2 + 52t + 4.5. Use this equation to determine the number of seconds, to the nearest 0.1 second, from the time the ball is hit until the ball hits the ground. This question is from textbook Applied College Algebra

Answer by venugopalramana(3286) About Me  (Show Source):
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The height h, in feet, of a baseball above the ground t seconds after it is hit is given by h = -16^2 + 52t + 4.5. Use this equation to determine the number of seconds, to the nearest 0.1 second, from the time the ball is hit until the ball hits the ground.
APART FROM START WHEN H=0 AT T=0.
WHEN IT HITS THE GROUND AGAIN H=0
SO WE HAVE TO FIND T FOR THIS CASE
16T^2-52T-4.5=0
T=[52+SQRT{52^2-4(16)(-4.5)]/(2*16)=3.33 SEC=3.3 SEC