7. David walks 3 km north, and then turns east and walks 4 km. find distance and displacement
Answers
Answer:
N
W-----------E
S
DISTANCE=3+4
=7 KM
DISPLACEMENT=
=5 KM
Explanation:
Given:
David walks
1. 3 km north
2. 4 Km east
To find:
1. Distance
2. Displacement
Solution:
For the first part of the question, that is for calculating the distance travelled we just have to add the total kilometres David walked
Total distance = 3 Km + 4 Km
= 7 Km
Therefore, the total distance travelled by David is 7 Km.
Now, for calculating the displacement we take to consider the shortest distance travelled by David.
The figure attached shows the shortest distance as X.
So, by using the Pythagoras theorem we can find the value of X.
3² + 4² = X²
9 + 16 = X²
25 = X²
X = 5
Therefore, the Displacement of David is 5 Km