Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

use the picture below to answer questions 6 and 7. a soccer player runs…

Question

use the picture below to answer questions 6 and 7.
a soccer player runs two laps of a 400 meters track and then stops at the beginning point.

  1. what is the soccer players distance?

a) 0 m b) 100 m c) 400 m d) 800 m

  1. what is the soccer players displacement?

a) 0 m b) 400 m, east c) 800 m, east d) 800 m, west

Explanation:

Step1: Calculate the distance

Distance is the total path covered. One lap is \(400\) meters. For two laps, the distance \(d = 2\times400\) meters.
$$d=800\text{ meters}$$

Step2: Calculate the displacement

Displacement is the change in position from the initial to the final point. The player starts and stops at the same point. So, the displacement \(\Delta x=x_{final}-x_{initial}\). Since \(x_{final} = x_{initial}\), \(\Delta x = 0\) meters.

Answer:

  1. d) \(800\) m
  2. a) \(0\) m