Self Exercise 8.8 Question 2

The diagram above shows the position and direction of motion of two boys, Faiz and Qian Hou who are running on a straight path and each passes through two fixed points, P and Q. At the time Faiz passes through the fixed point P, Qian Hao passes through the fixed point Q. Faiz stops for a moment at point R. Faiz's velocity, , at the time instant after passing the fixed point P is given by while Qian Hao runs with a constant velocity. Given the distance PQ is 50 m [Consider movement to the right is positive.] (a) Calculate Faiz's maximum velocity, in

(b)(i) Sketch the velocity-time graph of Faiz from point P to point R.

(ii) Next, find the distance Faiz, in m, from point P to point R

(c) Determine the distance, in m, between Faiz and Qian Hao when Faiz is at point R.