Question

Allie goes cruising on her dirt bike. She rides 2 km north, 4 km west, 13 km south, 10 km east, 1 km south and 6 km east. What was her displacement?

Answer 1

16.97km

Explanation:

To get the displacement, we will use the pythagoras theorem

Sum of distances along the horizontal (east and west) is expressed as

dx = 10 - 4 + 6

dx = 6+6

dx = 12km

Sum of distances along the y;

dy = 2 - 13 - 1

dy = -11-1

dy = -12km

Find the displacement using the pythagoras theorem

D = √(12)²+(-12)²

D = √144+144

D = √288

D = 16.97km

Hence her displacement is 16.97km