What is the maximum height h of his jump above the end of the ramp

AI Thread Summary
To determine the maximum height of the skier's jump, start with the conservation of energy principles, where potential energy at height H converts into kinetic energy at the ramp's end. The skier's initial potential energy is calculated using PE = mgh, and the velocity at the end of the ramp can be derived from the kinetic energy formula KE = 0.5mv². Split the velocity into vertical and horizontal components, using the angle of 28° to find the vertical component. Calculate the time until the vertical component of velocity reaches zero, which indicates the peak height. This approach combines energy conservation and projectile motion principles to find the maximum height above the ramp.
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A 48 kg skier starts from rest at a height of H = 28 m above the end of the ski-jump ramp. As the skier leaves the ramp, his velocity makes an angle of 28° with the horizontal. Neglect the effects of air resistance and assume the ramp is frictionless.
Could u give me a formula i need to start with because i have no idea about the formula.
 
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Split the velocity into its vertical and horizontal components. Then just calculate how long until the vertical component equals zero, this will be the time equivalent to the maximum height before the skier starts to descend again. You should have learned the equations of motion, and the equations for potential and kinetic energy, that's about all you'll need.
 
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