Posted by **dave** on Sunday, November 29, 2009 at 9:52pm.

using the quadratic equation on a 2 dimensional projectile motion problem...

i am solving for tf and i have it worked all the way down to:

-100m(tf)-100m(tf) / -10m/s^2(tf)^2

or

-200m(tf) / -10m/s^2(tf)^2

is the answer 20 seconds? algebra is not my strong suit =(

- Need problem statement -
**Damon**, Sunday, November 29, 2009 at 9:58pm
What is the problem here. Is it something fired at some speed at some angle?

- college physics -
**dave**, Sunday, November 29, 2009 at 10:03pm
yes.. it's the "brothers of mercy" problem.

a plane is flying at 40 m/s, descending at an angle of 37 degrees to the horizontal. it is 100 m in the air and it is trying to drop a package to a man at R distance. what is R?

to find R, i needed to solve for time. that's where the quadratic came from

- college physics -
**Damon**, Sunday, November 29, 2009 at 10:55pm
initial speed down = 40 sin 37

= 24.1 m/s

falls 100 meters, get speed down

v = 24.1 + 9.8 t

distance down

100 = 24.1 T + 4.9 T^2

4.9 T^2 + 24.1 T - 100 = 0

T = 2.68 s

now horizontal speed constant for 2.68 seconds

d = (40cos37)2.68

= 85.6 meters

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