Question

English placement of a body is equal to 200 + - 5 metres and time taken by it is 2.20 plus minus 0.2 seconds then find the percentage error in calculation of velocity ​

Answer 1

In this question

s = 200

t = 20

Δs = 5  

Δt = 0.2

We know that displacement = velocity × time

∴ s = v × t

For error in velocity we know that

Δv/v = Δs/s + Δt/t

or, Δv/v = 5/200 + 0.2/20

or, Δv/v = 0.025 + 0.01

             = 0.035

∴ Percentage error in velocity = 0.035 × 100 = 3.5%