Quote Originally Posted by KunaiBlood View Post
[Passage] Chun and RJ are playing basketball. Chun can jump with an initial velocity of 13 feet per second and needs to jump 2.6 feet to dunk the basketball. RJ can jump with an initial velocity of 15.5 feet per second and needs to jump 3.6 feet to dunk the ball.

[Question] Can chun dunk the ball? can RJ?

the formula is h=16t^2+vt+s

Help plz this question is pissing me off
Chun: 2.6 = -16t^2 + 13t + 0
RJ: 3.6 = -16t^2 + 15.5t + 0

Put first side into Y= of TI-83 and put the other side into y= Then do 2nd > Calculate > Intersection.

Or you could solve by hand. Anyways....

Any intersections would indicate the ability to dunk. Chun - no, RJ - yes. Algebracially by hand why Chun can't...
2.6 = -16t^2 + 13t (equation)
0 = -16t^2 + 13t - 2.6 (subtraction)
~Quadratic Formula!~
(-b +/- sq rt.( b^2 - 4ac))/2a
If you don't know the principles for that well...
(-13 +/- sq rt.( 169 - 166.4))/-32
(-13 + sqrt.(2.6))/-32 , (-13 - sqrt.(2.6))/-32

I made an error somewhere. You should come out with finding the squareroot of a negative number but whatever. I'm not even sure anymore.