SOLUTION: if a certain canon is fired from a height of 9.2 m above the ground at a certain angle the height of the cannonball above the ground H in meters at time T in seconds is found by th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: if a certain canon is fired from a height of 9.2 m above the ground at a certain angle the height of the cannonball above the ground H in meters at time T in seconds is found by th      Log On


   

Question 1108755: if a certain canon is fired from a height of 9.2 m above the ground at a certain angle the height of the cannonball above the ground H in meters at time T in seconds is found by the function h(t)=-4.9^2+27.5t+9.2 find the time it takes for the cannonball to strike the ground
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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if a certain canon is fired from a height of 9.2 m above the ground at a certain angle the height of the cannonball above the ground H in meters at time T in seconds is found by the function h(t)=-4.9^2+27.5t+9.2 find the time it takes for the cannonball to strike the ground
:
h(t)=-4.9t^2 + 27.5t + 9.2
When the ball hits the ground h(t) = 0
-4.9t^2 + 27.5t + 9.2 = 0
use the quadratic equation to find t; a=-4.9; b=27.5; c=9.2
I got a positive solution: t = 5.929 sec
:
Graphically
+graph%28+300%2C+200%2C+-6%2C+8%2C+-10%2C+70%2C-4.9x%5E2+%2B+27.5x+%2B+9.2%0D%0A++%29+