Question

Please help will mark as brainless

Answer 1

1. r =
`\sqrt[3]{(3v)/(4\pi ) }`

divide v by 4/3, this is the same as multiplying v by 3/4 so you have 3v/4

then divide v by
`\pi` so you now have 3v/4
`\pi`

then get rid of the ^3 on r by putting the solution for r under a ∛

2. a) The equation might need to be written in terms of a because you may not know the value of a, but you know the value of everything else. If this is the case then you can simply rewrite the equation so that you can plug it all into a calculator and avoid certain possible errors.

b)

s = ut + 1/2
`at^(2)`

subtract ut from both sides: s - ut = 1/2
`at^(2)`

multiply both sides by 2: 2(s - ut)

divide both sides by
`t^(2)`:
`(2(s - ut) )/(t^(2) )` = a

answer: a =
`(2(s - ut) )/(t^(2) )`

I'm not entirely sure about b) for question 2 so you might wanna double check that with a friend