solving a quadratic equation with irrational roots

Mathematics
Tutor: None Selected Time limit: 1 Day

A ball is thrown from an initial height of 

 meter with an initial upward velocity of 
. The ball's height 
 (in meters) after 
 seconds is given by the following.
Find all values of 
 for which the ball's height is 
 meters.
Apr 30th, 2015

h=1+25t-5t^2

6=1+25t-5t^2

5=25t-5t^2

1=5t-t^2

t^2-5t+1=0

D=25-4=21

sqrtD=sqrt21

t1=(5+sqrt21)/2

t2=(5-sqrt21)/2

Apr 30th, 2015

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Apr 30th, 2015
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Apr 30th, 2015
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