Question

Sasha [mass mC = 34kg] and Sarah [mass mCh = 42kg] love to go swimming. Sasha is a s great, while Sarah only goes for fun. They both start on one side of pool (x = 0) at the same time (t = 0). The pool is separated into lanes along the “long course” so that the other end is at x = 50 m. Sasha is able to swim 2,500 m in 55 minutes; we assume that Sasha and Sarah both swim at constant speeds.

a) Sasha and Sarah “meet” for the second time when they are at x = 11 m after Sasha makes two turns and Sarah makes only one turn. At what time do Sasha and Sarah meet?

b) Sketch the position vs. time graph for Sasha and Sarah until they “meet” the second time.

c) How fast does Sarah swim?

d) Where do Sasha and Sarah meet for the first time?

e) How long does Sasha have to wait until Sarah finishes the total distance 2,500 m?

Answer 1