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Problem :This cat was in a 25ft in a roof  I told  him to drop my grease for my hair and I was 5.5ft tall  how long would it take for it to hit my paws.

Formula: h=-16t2+s

Answer                                               h=5.5

                                                        T=t

                                                                S=25                                                                                                        5.5=-16t2+25

-25          -25

-19.5 = -16t2

-16        -16

 

1.22 = t2

 ±1.1 = t

 

 

This alligator that lives in the 15 floor and I had left my backpack up there and I told him to drop it but instead he threw it at        -5ft/sec. paws but it was too fast and hit the floor. How long would it take to hit the floor?????

 

H=0

V=-5

S=15

T=?????

 

       0=-16t2+v+s

       0=-16t2+-5+15=

             A       B   C

 

 

X=-b±√b2-4(a)(c)

                2(a)

X =5±√-52-4(-16)(15)

             2(-16)

X= 5±√25-960

        -32          

X= 5±√-935

       -32

 X= 5+29.2                       x =  5-29.2

           -32                                  -32

T=-1.07                             T= 0.76