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

Once the 2,500-m swim is completed, Sarah [mass mCh = 42 kg]
wants to impress Sasha [mC = 34 kg] and jumps off the 10-m
platform. Sarah jumps upwards and reaches the maximum height of
2.5-m above the platform before turning around and falling towards
the water. We only consider the motion along the vertical.
a) Find the velocity [vector] of Sarah as she jumps off the
spring board.
b) Find the velocity [vector!] of Sarah as she hits the...

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