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Multi-step acceleration

A particle moving with constant acceleration travels 6 metres in 4 seconds, and a further 10 metres in the next 6 seconds.
Find the acceleration of the particle?

Obviously, I'd like to understand, so if you could give me the thought process.
Thanks
Reply 1
Original post by Mlopez14
A particle moving with constant acceleration travels 6 metres in 4 seconds, and a further 10 metres in the next 6 seconds.
Find the acceleration of the particle?

Obviously, I'd like to understand, so if you could give me the thought process.
Thanks

To solve you need two equations and I would make the initial speed = u and reference both equations from this start
Using s = ut + 0.5 t-squared
First equation t = 4 and s = 6
Second equation t = 10 and s = 16
Simultaneous equations and use calculator to solve these days
Reply 2
Original post by swinroy
To solve you need two equations and I would make the initial speed = u and reference both equations from this start
Using s = ut + 0.5 t-squared
First equation t = 4 and s = 6
Second equation t = 10 and s = 16
Simultaneous equations and use calculator to solve these day

Hold on, is s = ut + 0.5 t^2 an actual equation because I've never seen it before? Maybe you're confusing it with s = ut + 0.5at^2, though we are missing acceleration
(edited 4 years ago)
Reply 3
Original post by Mlopez14
Hold on, is s = ut + 0.5 t^2 an actual equation because I've never seen it before? Maybe you're confusing it with s = ut + 0.5at^2, though we are missing acceleration

Well spotted
I forgot the acceleration a
S = ut + 0.5at_squared
Sorry
It’s quite PAINFULwriting equations on these boards
Is there no equation editor facility
Reply 4
Original post by swinroy
Well spotted
I forgot the acceleration a
S = ut + 0.5at_squared
Sorry
It’s quite PAINFULwriting equations on these boards
Is there no equation editor facility

That is alright, no issues.
When writing complex formulae, you can use LaTex which gives you editing options.
Can be quite painful at first but here is the link: https://www.thestudentroom.co.uk/help/latex
Reply 5
Original post by Mlopez14
That is alright, no issues.
When writing complex formulae, you can use LaTex which gives you editing options.
Can be quite painful at first but here is the link: https://www.thestudentroom.co.uk/help/latex

Thanks
\sqrt[3]{1+x^2} gives \sqrt[3]{1+x^2}
\sqrt[3]{1+x^2}

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