Forces acting on moving objects (cars, airplanes, ships, etc.) require the engineer to know corresponding tangential and normal accelerations. In Probs. 35–38 find them, along with the velocity and speed. Sketch the path.

r(t) = (R sin ωt + Rt)i + (R cos ωt + R)j.

This is the path of a point on the rim of a wheel of radius R that rolls without slipping along the x-axis. Find v and a at the maximum y-values of the curve.