Question

A particle travels due North a distance of 30
m in 10 seconds and then another 40 m
along west in 20 second. The average
velocity of the particle is​

Answer 1

Given : A particle travels due North a distance of 30m in 10 seconds and then another 40m along west in 20 seconds.

To find : The average velocity of the particle.

solution : This question can be solved easily with the help of vector form.

A particle travels due North a distance of 30

m in 10 seconds.

displacement of particle, s₁ = 30 j

again the particle travels 40 m. along west in 20 seconds.

so displacement of particle, s₂ = -40 i

now average velocity of particle = (total displacement)/total time taken

= (s₁ + s₂)/(t₁ + t₂)

= (30j - 40i)/(10 + 20)

= (- 40i + 30j)/30

magnitude of velocity = √{40² + 30²}/30 = 50/30 = 1.67 m/s

Therefore the average velocity of particle is 1.67 m/s.