SOLUTION: An automobile is traveling at61 ft/sec. The driver applies the brakes in such a way that the velocitydecreases to zero according to the relationv(t)=61-0.61t2, where t= time. Find

Algebra ->  Equations -> SOLUTION: An automobile is traveling at61 ft/sec. The driver applies the brakes in such a way that the velocitydecreases to zero according to the relationv(t)=61-0.61t2, where t= time. Find       Log On


   

Question 1161902: An automobile is traveling at61 ft/sec. The driver applies the brakes in such a way that the velocitydecreases to zero according to the relationv(t)=61-0.61t2, where t= time. Find an equivalentexpression for v(t) by factoring out a factor with a negative coefficient.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

v%28t%29=61-0.61t%5E2

v%28t%29=-0.61t%5E2%2B61

v%28t%29=-0.61%28t%5E2-100%29 Divide both terms (-0.61t^2 and 61) by -0.61 to factor it out

Optionally you can use the difference of squares rule to go from t%5E2-100 to %28t-10%29%28t%2B10%29. So v%28t%29=-0.61%28t%5E2-100%29 is the same as v%28t%29=-0.61%28t-10%29%28t%2B10%29