The minimum stopping distance on level ground is 5 m for a vehicle moving at 10 m/s if the same vehicle is going down an incline of inclination `37^(@)`. What is the minimum stopping distance ?

Options

A. 15 m
B. 20 m
C. 25 m
D. 30 m

Answer

C

Explanation

`0^(2)=10^(2) -2xxaxx5`

`a=10 m//s^(2) =mug`
`mu=1`
` mg sin theta-mu mg cos theta=ma`
`a=10^(2) xx3/5-1xx10xx4/5 =-2 m//s^(2)`
`0^(2)=10^(2)-2xx2xx5`
`s=25 m`