Answer to Question #168480 in Physics for Matthew

Question

A particle is moving along a curved path, at a certain instant when the slope of the path is 0.75, ax= 6fps and ay= 10fps. Compute the values of tangential acceleration at this instant and sketch how the path of the particle curves.

Answer 1

Compute the value of tangential acceleration at this instant:

$$a_t=\sqrt{a_x^2+a_y^2}=11.7\text{ fps}.$$

Sketch how the path of the particle curves: