SOLUTION: a rocket is launched from atop a 102-foot cliff with an initial velocity of 158ft/s. substitute the values into the vertical motion formula h=-16t^2+vt+c. let h=0.use the quadratic

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: a rocket is launched from atop a 102-foot cliff with an initial velocity of 158ft/s. substitute the values into the vertical motion formula h=-16t^2+vt+c. let h=0.use the quadratic      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 637396: a rocket is launched from atop a 102-foot cliff with an initial velocity of 158ft/s. substitute the values into the vertical motion formula h=-16t^2+vt+c. let h=0.use the quadratic formula to find out how long after the rocket is launched it will hit the ground. round to the nearest tenth of a second. show work.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

h= -16t^2+vt+c

Question states***initial velocity of 158ft/s,launched from atop a 102-foot cliff

 -16t^2+ 158t + 102 = 0        || ax^2 + bx + c = 0

 x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

 x+=+%28-158+%2B-+sqrt%28+158%5E2-4%2A%28-16%29%2A102+%29%29%2F%282%2Aa%29+

 x+=+%28-158+%2B-+sqrt%28+31492+%29%29%2F%2832%29+

    x = 10.5 sec