2. Derive an equation for the velocity of the pole vaulter just before impacting into the pads in terms of initial velocity (v.), acceleration of gravity (g), and the height of the pads (hp). 3. Derive an equation for the pole vaulters displacement into the pads in terms of max, m, V, g, hp, and k (you do not have to solve it in all of these terms, but at least some of these terms should be included). 4. The average pole vaulter with a mass of 75 kg can run up to a velocity of 7.48 m/s. The pole vault pads are 0.81 m thick and have a spring constant k=10,000 N/m. Use the equations you derived previously where necessary to determine and prove if the pole vaulter hits the ground through the pads?