(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A long jumper leaves the ground at 45 degrees above the horizontal and lands 8.2 meters away. What is her "takeoff" speed v0?

2. Relevant equations

x = x0 + v0t + 1/2at^2

v^2 = v0^2 + 2ad

v = v0 + at

3. 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^2

There 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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# Homework Help: Projectile Jumper Problem

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