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                                               ::DROP::

Problem

I dropped an apple from a 10ft tree. How long will it take to reach the ground?

Formula

H=-16t²+s=0

Given Information

H=0

T=t

S=10

Solution

0=-16t²+10

-10       -10

-10=-16t²

-16   -16

√0.62=√t²

^{±0.89 = t}

                                                  ::THROWN::

Problem

I was on top of my roof and it was 25ft tall. Then from the roof I threw a water balloon with a velocity of -10ft/sec. how long did it take to hit he ground?

Formula

-16t²+vt+s

Given Information

H=0

T=t

S=25

V=-10

Solution

-16t²+10t+25

A=-16

B=-10

C=25

t=-b±√b²-4ac

        2a

t=10±√10²-4(-16)(25)

              2(-16)

t=10±√100+1600

            -32

t=10±√1700

          -32

t=10+41.23                        t=10-41.23

        -32                                      -32

T=-1.60 sec                                T=0.976sec