Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

6. kai swims for the school swim team. he specializes in a backstroke e…

Question

  1. kai swims for the school swim team. he specializes in a backstroke event where he has to swim the 50 - m length of the pool three times. find his distance and displacement.

Explanation:

Step1: Calculate the distance

Distance is the total path covered. The pool length is \(50\) m and he swims it \(3\) times.
\(d = 50\times3=150\) m

Step2: Calculate the displacement

Displacement is the straight - line distance from the initial to the final position. After swimming \(3\) times (assuming he starts and ends at the same end of the pool if we consider the direction). If we assume the pool length \(L = 50\) m, after an odd number of lengths (here \(n = 3\)), if we take the starting point as the origin, the displacement \(s=50\) m (because after three lengths, he is at the opposite end of the pool from the start if we consider the direction of the first - length swim as positive)

Answer:

Distance \(d = 150\) m, Displacement \(s = 50\) m