SOLUTION: A projectile is fired upward with an initial velocity of 588 m/sec. After how many minutes will it hit the ground?

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Question 724419: A projectile is fired upward with an initial velocity of 588 m/sec. After how many minutes will it hit the ground?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If that projectile is fired from ground level, its height (in meters) t seconds after being shot would be give by the equation
h=588t-4.9t%5E2 (the 4.9 number is half of the acceleration of gravity in m%2Fs%5E2 ).
Solving -4.9t%5E2%2B588t=0 would give us the time when it hits the ground.
Dividing both sides of the equation by -4.9 we get
t%5E2-120t=0 so the projectile is at ground level at t=0 (we knew that) and at t=120, highlight%28120+seconds%29.