If the speed of a particle is `v = 10t^(2) m//s` then find out distance covered from t = 2s to t = 5s .

Explanation

Given : Speed of a particle
` v = 10t^(2) m//s`
Formula : ` s = int v dt`
`= underset(2)overset(5)int 10 t^(2) dt = 10 underset(2)overset(5)int t^(2) dt`
` = (10)/(3) [t^(3)]_(2)^(5)= (10)/(3) (5^(3)-2^(3))`
`= (10)/(3) [125 - 8]`
`= (1170)/(3) = 390m`