Stickman is in training to be a professional stunt performer. His first stunt in

Question

Stickman is in training to be a professional stunt performer. His first stunt involves launching himself up a self-constructed parabolic ski ramp using a rocket strapped to his back. Having a background in engineering, Stickman wants to perform some preliminary calculations before attempting the stunt. Specifically:

Part 1) If the rocket can get Stickman up to 50m/s before the ramp starts to curve and can keep him at that speed on the ramp, what are the x and y components of acceleration at the end of the ramp?

Part 2) To place a landing zone, Stickman also needs to know how far he will travel along the ground. Estimate this (d) assuming no air resistance and projectile motion. Use g=9.81m/s2.

Explanation / Answer

in this case we need to consider the force due to motion of the man on the parabola, the velocity is v, the radius of curvature at that point can ve found by using the equation r=(1+(dy/dx)^2)^3/2 / d^2y/dx^2. so force will be v^2/r so it will act normal to the parabola,at the end of the point, so the slope of the tangent at that point is 1/2 . so accordingly take the components of the force vector(the centripetal force) then get the net force. for the second part, we know the angle of projection which is arctan(1/2), the speed of projection, so we can easily find out the range using the formula v^2sin2theta /g

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