SOLUTION: The formula h=-16t^2+vt gives the height h in meters of an object after t second, when it is shot upward into the air with an initial velocity v in meters per second. After how man

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The formula h=-16t^2+vt gives the height h in meters of an object after t second, when it is shot upward into the air with an initial velocity v in meters per second. After how man      Log On


   



Question 1034083: The formula h=-16t^2+vt gives the height h in meters of an object after t second, when it is shot upward into the air with an initial velocity v in meters per second. After how many seconds will the object hit the ground if it is shot with a velocity of 19.6 meters per second? The h is 58.8 meters high

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The formula h=-16t^2+vt gives the height h in meters of an object after t second, when it is shot upward into the air with an initial velocity v in meters per second.
After how many seconds will the object hit the ground if it is shot with a velocity of 19.6 meters per second?
When the object hits the ground the h=0, therefore
-16t^2 + 19.6t = 0
Divide by -t
16t - 19.6 = 0
16t = 19.6
t = 19.6/16
t = 1.225 sec to hit the ground
:
The h is 58.8 meters high
The object never gets that high as you can see
+graph%28+300%2C+200%2C+-1%2C+3%2C+-4%2C+10%2C+-16x%5E2%2B19.6x%29+