Question

1. Chanice drives her scooter 7 kilometres north. She stops for lunch and then drives 5 kilometres east. What distance did she cover? What was her displacement

Answer 1

Answer:

distance = 12km   and   displacement = 8.6 km

Explanation:

Displacement is the distance between initial point and final point

so displacement = √7²+5² = 8.6 km [by pythagoras theorem]

Answer 2

Given:

Chanice drives her scooter 7 kilometres north. She stops for lunch and then drives 5 kilometres east.

To find:

• Distance and Displacement?

Calculation:

• Distance refers to the total path length travelled by the object.

$\therefore \: distance = 5 + 7 = 12 \: km$

• Displacement is the shortest length between the starting and stopping point of the object.

• It can be calculated using PYTHAGORAS' THEOREM (in this case).

• Let displacement be d .

$d = \sqrt{ {5}^{2} + {7}^{2} }$

$\implies \: d = \sqrt{25 + 49}$

$\implies \: d = \sqrt{74}$

$\implies \: d = 8.602 \: km$

So distant is 12 km and displacement is 8.602 km.