This is a homework problem (not related to the book) I\'m completelylost, please

Question

This is a homework problem (not related to the book) I'm completelylost, please help, I will rate you asap.

A rocket sled is propelled along a vertical circular track withradius 100m. Taking the center of the circle (100m off the ground)as the origin of your coordinate system, the equations of motionare given by r=100, =-/2+2t2.

a) Evaluate the vector velocity and the vector acceleration asfunctions of time in polar coordinates.
b)When the sled reaches =/4, two failures occur at thesame time. The rocket sled runs out of fuel and the track breaks.The sled therefore goes flying off on a trajectory influencedonly by gravity. (Ignore air resistance)How far away from thebottom of the circle will the sled strike the ground?

Explanation / Answer

radius of circular track r = 100 m the equations of motion are = -(/2) + 2t^2 or (d/dt) = 4t or w = 4t a)the vector velocity is v = r * w = 100 * 4t = 400t the vector acceleration is a = (v^2/r) = ((400t)^2/100) = 1600 * t^2 b)the distance from the bottom of the circle the sled strikethe ground is v^2 - u^2 = 2gS) or S = (v^2 - u^2/2g) or S = ((400t)^2 - (0)^2/2 * 9.8) = 8163.2 * t^2

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