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 v1 and its constant acceleration a. Having studied 1-0 motion with constant acceleration, you write down the following equations to describe the linear displacement delta s and change in velocity delta v of the car: Delta s=v1 delta t +1/2 a(delta t)^2 delta v= a delta t v^2 F=v^2 1 +2 a 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. Delta theta= v1 delta t /R +1/2 x a(delta t)^2/R Delta omega =Delta v/R Omega ^2 F= VF^2/R^2 +2x Delta s a/ R^2 Incorrect . Conversion from linear to angular kinematics should not affect the time variable.

Explanation / Answer

?? = (vi *?t) / R   + (1/2)* (a*(?t)^2) / R

?? = ?v/R

?F^2 = (vi^2) / R + 2 * (?s *a ) / R^2

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