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Change the subject of the formula s=ut+(1)/(2)at^2 to a __

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Change the subject of the formula s=ut+(1)/(2)at^2 to a __

Change the subject of the formula s=ut+(1)/(2)at^2 to a __

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ClaraVeteran · Tutor for 12 years

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\( a = \frac{2(s - ut)}{t^2} \)

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## Step 1:<br />The given formula is \( s = ut + \frac{1}{2}at^2 \). We want to make \( a \) the subject of the formula. <br /><br />## Step 2:<br />First, we isolate the term with \( a \) on one side of the equation. We can do this by subtracting \( ut \) from both sides of the equation. This gives us \( s - ut = \frac{1}{2}at^2 \).<br /><br />## Step 3:<br />Next, we want to get rid of the \( \frac{1}{2} \) in front of \( a \). We can do this by multiplying both sides of the equation by 2. This gives us \( 2(s - ut) = at^2 \).<br /><br />## Step 4:<br />Finally, we want to isolate \( a \) by itself. We can do this by dividing both sides of the equation by \( t^2 \). This gives us \( a = \frac{2(s - ut)}{t^2} \).
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