1
Question
A boy walks to the store using the following path: 0.4 miles west, 0.2 miles north, 0.3 miles east. What is his total displacement?A boy walks to the store using the following path: 0.4 miles west, 0.2 miles north, 0.3 miles east. What is his total displacement (magnitude)? (in miles)
A boy walks to the store using the following path: 0.4 miles west, 0.2 miles north, 0.3 miles east. What is his total displacement?A boy walks to the store using the following path: 0.4 miles west, 0.2 miles north, 0.3 miles east. What is his total displacement (magnitude)? (in miles)
Open in App
Solution
The correct option is A 0.22
Consider east direction to be x-axis and north direction to be y axis.
Total displacement along x axis Sx=−0.4^i+0.3 ^i=−0.1^i
Displacement along y axis Sy=0.2 ^y
Magnitude of displacement |S|=√S2x+S2y=√(0.1)2+(0.2)2=0.22 m
Consider east direction to be x-axis and north direction to be y axis.
Total displacement along x axis Sx=−0.4^i+0.3 ^i=−0.1^i
Displacement along y axis Sy=0.2 ^y
Magnitude of displacement |S|=√S2x+S2y=√(0.1)2+(0.2)2=0.22 m
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
