What is the instantaneous radius of curvature?
An object is moving along an elliptical track and its x and y coordinates are recorded in meters by a stroboscope as follows:
x = ct
y = 1 - 2 c2^ t^2
with c=0.707 and t measured in seconds. What is the instantaneous radius of curvature at t = T?
The diagram below is the trajectory of the object recorded by a stroboscope flashing at 5 Hz.
The help notes for Q2.22 may be helpful. You were given an expression for a(t) there and r(t) here. Otherwise, the same approach should apply.
T[s] = 0.32;