You are standing at the side of a road when you notice a car approaching. You me

Question

You are standing at the side of a road when you notice a car approaching. You measure its initial velocity vi and its constant acceleration a Having studied 1-D motion with constant acceleration. you write down the following equations to describe the linear displacement Deltas and change velocity Deltav of the car Delta s = vi Delta t + 1/2a(Delta t)2 Delta v = a Delta t vt2 = vi2 + 2a Delta s Your friend picks you up in a helicopter and takes you to a great height, at which point you see that the car below is actually driving on a large circular track Using trigonometry and the helicopter's altimeter you measure the radius R of the circle. Construct the angular kinematic equations for the car's motion about the center of the circle in terms of the radius R. the linear acceleration a and the other linear kinematic quantities. Only the simplest possible expressions will be considered correct

Explanation / Answer

= (vi/R)t + (1/2)(a/R)(t)2

w = (a/R)t

wf2 = (vi/R)2 + 2(a/R)

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