Solving Motion Equation: Transposing s=ut + 1/2at^2 for a

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To transpose the equation s=ut + 1/2at^2 for a, the correct approach involves isolating a by first rearranging the equation to s - ut = 1/2at^2. The next step is to multiply both sides by 2 to eliminate the fraction, resulting in 2(s - ut) = at^2. Finally, dividing both sides by t^2 gives a = 2(s - ut)/t^2. It is crucial to ensure that the entire expression is divided correctly to avoid errors in the calculation.
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Homework Statement



How do you transpose s=ut + 1/2at^2 for the a?

Homework Equations


s=ut + 1/2at^2


The Attempt at a Solution


s=ut + 1/2at^2
s-ut=1/2at^2
a=s-ut/0.5t^2

This is so wrong, could someone help me?

 
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Why is this 'so wrong'? Aside from your potential lack of brackets, which isn't all that uncommon, your answer seems to be either correct or close to correct.
Either way did you mean a=\frac{s-ut}{0.5 t^2}=2 \frac{s-ut}{t^2}?
If so your answer is correct. If you are however only dividing ut by 0.5t^2 it is not. So make sure that when you divide by an expression on one side you divide through the whole expression on the other side as well.
 
Thanks!
 
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