A particle follows the path with angular coordinate for

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A particle follows the path r=1+θr=1+\theta with angular coordinate θ(t)=ln⁡(1+2t)\theta(t)=\ln(1+2t) for t≥0t\geq0. Compute the Cartesian components of the acceleration vector ⟨ax,ay⟩\langle a_x,a_y\rangle at t=0.5t=0.5.

Related theory

Browse the problem library