s = ut +½at2 is a formula used in Physics to calculate distance.Make "a" the subject of the formula.

Question

BlackTom AI · Accepted Answer

We start with the given formula s = u t + ½ a t^2 and need to solve for a.
First, subtract u t from both sides to isolate the term with a: s - u t = ½ a t^2.
Next, multiply both sides by 2 to get rid of the ½: 2(s - u t) = a t^2.
Then, divide both sides by t^2 to solve for a: a = 2(s - u t) / t^2.
Now, compare this result to the provided options.
Option a presents something like a = (2s - u t t)/t^2, which is a misarranged form and does not clearly represent 2(s - ut)/t^2; the placement of terms is incorrect and can mislead you about the subtraction and division structure.
Option b shows a = 2(ut - s)/t^2, which differs in sign inside the parentheses from the correct expression, effectively giving a negative of the right value when s > ut.
Option c presents a = 2(s - ut)/t^2, which matches the derived result after performing the algebraic steps; it also corresponds to the displayed equivalent form a = \frac{2(s-ut)}{t^2}.
Option d has a completely different structure, a = s/(ut) - 1/2 t^2, which does not follow from the original equation and misplaces the operations, leading to an incorrect relation for a.
In summarizing the reasoning, you can see that the correct algebra involves isolating a by removing ut from s, eliminating the ½ by multiplying by 2, and finally dividing by t^2; option c aligns with that sequence and result, while the other options introduce sign errors, incorrect rearrangements, or entirely different operations that do not reproduce a when starting from s = ut + ½ a t^2.

s = ut +½at2 is a formula used in Physics to calculate distance.Make "a" the subject of the formula.单项选择题

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