SUVAT: Solving for t When s=(u+v)t/2

[Dan1601]

Using SUVAT if s=(u+v)t/2
would t=2s/(u+v)?

 

[hage567]

Hi, 1st day at college. 1st lesson on SUVAT and they set me a homework I am really struggling with hehe ended up coming here for ASAP for it being due tommorow.


I would say I am reasonably ok with it. One question I am just doubting I am right with is this:

A car accelerates uniformly from 5ms-1 to 20ms-1 over a distance of 500m.
How long does this take (t)
What is the cars acceleration? (a)


obviously using s=(u+v)t/2 but I am unsure how to rearrange it correctly. Taking a guess at 2s/(u+v)=t which provides me with an answer of 10. I don't think its correct because using t to find A i end up with 15/10 which doesn't sound correct. Please help

Your equation looks OK, but I can't see how you got 10 s out of it. Can you show what you did?