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**1. The problem statement, all variables and given/known data**

This is a semester review. I am having trouble starting the second part of this question. It is well-know fact that Superman is "faster than a speeding bullet, more powerful than a locomotive, and able to leap tall buildings in a single bound." Assume his mass is 100kg.

The first part we are given his initial velocity as 181 m/s. That is one meter faster than a characteristic bullet. His jump takes off at a 86.9 degree angle. What are his initial velocities in the x and y direction. No trouble here.

V(xinitial)=1.26 m/s

V(yinitial)=180.99 m/s

The second part asks how tall of a building can he leap using the above data.

**2. Relevant equations**

Y=Yinitial)+V(yinitial)(time)+1/2Ay*(time^2)

V(yfinal)^2=V(yinitial)^2+Ay(X-Xinital)

V(yfinal)=V(yinitial)+Ay*Time

**3. The attempt at a solution**

I have his initial velocities in the x and y direction. I am confused on how to solve for a final velocity without knowing time or the final velocity in the y direction. I am thinking that since I have two unknowns I might have to rearrange and equation and substitute it into another one to solve for one unknown. Any help is greatly appreciated!