Question

PLS HELP ME!

A motorist is traveling 40ms-¹ and applies brakes and slow down at a rate of 2ms-² the available distance for the the motorist to stop is 400m will the motorist be able to stop?

Answer 1

`\underline{ \boxed{ yes}}\\`

Step-by-step explanation:

`given : initial \: velocity \: (u )= 40 {ms}^( - 1) \\ given : final \: velocity \: (u )= 0 {ms}^( - 1) \\ given : - (acceleration) \: (a_r) = 2 {ms}^( - 2) \\ given : distance \: (s) \: = \: ? : \\ but \: {v}^(2) = {u}^(2) + 2( a)s\\ {0}^(2) = {40}^(2) + 2( - 2)s \\ - {40}^(2) = - 4s \\ s = \frac{ - {40}^(2) }{ - 4} \\ s = (1600)/(4) \\s = 400 \: m`