Final answer:
To solve for 'a' in the equation s = ut + ½ at², isolate 'a' by subtracting 'ut' from both sides, multiplying by 2, and then dividing by 't²'.
Step-by-step explanation:
To make a subject of the equation s = ut + ½ at², we need to isolate an on one side of the equation. First, let's subtract ut from both sides to get s - ut = ½ at². Then, we multiply both sides by 2 to eliminate the fraction, resulting in 2(s - ut) = a t². Finally, we divide both sides by t² to solve for a, and we get a = ²2(s - ut) / t². This systematic approach allows the representation of acceleration in relation to displacement, initial velocity, and time, demonstrating a stepwise transformation without the use of mathematical symbols.