Can someone show me how to do this and explain some of the physics behind it ! T

Question

Can someone show me how to do this and explain some of the physics behind it ! Thanks ! l6. Wellington Wildcat was hanging out at The Tav late one night with some members of the CWU Track and Field team. After a heated chat with one of the pole vaulters about who was tougher, he came up with a spectacular new stunt to perform at the next track meet: He would steal one of the 3 meter long pole vaulting poles, run at his top speed of 10 m/s, and then use the pole to fly over the top of President Gaudino as he welcomes everyone to the meet, landing safely on the other side of the podium. Not wanting to injure the president or jeopardize his career, and knowing that you know your physics, he turns to you to make sure he doesn't crash and burn. (a) What is his speed when the pole is completely vertical in the air? (hint: energy is conserved

Explanation / Answer

(a)
This is the question of Conservation of Energy -
Kinetic Energy of the Jumper = 1/2 * mv^2
This energy will be transferred to Potential Energy

When the Pole is Completely Vertical in the air, Potential Energy gained = m*g*h + 1/2 * mvf^2

Using Energy Conservation =
Initial K.E = Final K.E + Final P.E
1/2 * mv^2 = m*g*h + 1/2 * mvf^2
1/2 * 10^2 = 9.8 * 3 + 1/2 * vf^2
vf = 6.42 m/s

(b)
Now,
Horizontal speed = 6.42 m/s
Verical speed = 0
Vertical acceleration = 9.8 m/s^2
height = 3 m

time taken to reach ground,
s = u*t + 1/2 * at^2
3 = 0 + 1/2 * 9.8 * t^2
t = 0.78 s

Distance from the point of release, d = 0.78 * 6.42 m
Distance, d = 5.0 m

please let me know in case there are any issues with the answer !!

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