manipulate the following equation to solve for t: s=1/2a t^2.
To solve for t in the equation s = (1/2)at^2, we can follow these steps:
Step 1: Distribute the (1/2) to the terms inside the parentheses:
s = (1/2) * a * t^2
Step 2: Multiply (1/2) and a:
s = (1/2) * a * t^2
s = (a/2) * t^2
Step 3: Divide both sides of the equation by (a/2) to isolate t^2:
s / (a/2) = t^2
Step 4: Take the square root of both sides to solve for t:
√(s / (a/2)) = √t^2
√(s / (a/2)) = t
So, the solution for t is t = √(s / (a/2)).
By manipulating the equation step by step, we isolated the t^2 term and then took the square root to solve for t.