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tuber313
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Homework Statement
A long jumper leaves the ground at 45 degrees above the horizontal and lands 8.2 meters away. What is her "takeoff" speed v0?
Homework Equations
x = x0 + v0t + 1/2at^2
v^2 = v0^2 + 2ad
v = v0 + at
The Attempt at a Solution
I can't seem to figure this problem out. Here's the information I got from the problem so far:
x component:
x0 = 0
x = 8.2 m
a = 0
y component:
y0 = 0
a = -9.8 m/s^2There seems to be too many missing variables to solve the equation. I even tried breaking the projectile in half, which yielded me this:
x component:
x0 = 0
x = 4.1 m
a = 0
v = v0
y0 = 0
a = -9.8 m/s^2
v = 0
EDIT: I forgot to mention I also realize that v0x and v0y components are equal, since the angle is 45 degrees. I know this is important, but I can't connect it to anything.
I still can't seem to figure it out, since I need y, or how high the object goes at its highest point. I also can't figure out the time it takes... If I knew either of those, I could figure it out, but I can't seem to get anything from this.
Thanks for your help.
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