Question

Find the velocity vb for the case where the acceleration is 7.66 m/s2. Anawer in units of m/s

Answer 1

Xi=0m
Xf= 105m
a= 7.66m/s^2
Vi= 0m/s ( I am assuming that the initial velocity was zero. I hope the question said something like "started from rest" or something)
Vf= UNKNOWN

First, I would use this equation to find time:


`( x_(f) - x_(i) ) = v_(i) (t) + (1)/(2)at^(2)`

`105= (0)t + 0.5(7.66)( t^(2))`

`105=3.83( t^(2) )`

`(105)/(3.83) = t^2`

`\sqrt{ (105)/(3.83)} =t`

`t= 5.24 s`

Once you have found time, use this equation to find final velocity:


`v_(f) = v_(i) +at`

`v_(f) = 0 + (7.66)(5.24)`

`v_(f) = 40.11 m/s`

Does this help?