Given that: \( v=u+a t \), make \( t \) the subject

To make \( t \) the subject of the equation \( v = u + at \), we simply isolate \( t \). Start by subtracting \( u \) from both sides: \[ v - u = at \] Next, divide both sides by \( a \) to solve for \( t \): \[ t = \frac{v - u}{a} \] And there you have it! \( t \) is now the subject of the equation. Now you're ready to apply this concept in real-world scenarios! For example, understanding this equation is crucial in physics, especially when analyzing the motion of objects. If you can determine the initial velocity \( u \), final velocity \( v \), and acceleration \( a \), you can calculate the time \( t \) it takes for an object to reach its final velocity. This is particularly useful in fields ranging from engineering to safety management in transportation. When manipulating formulas, a common mistake is forgetting that if you multiply or divide by a negative number, the inequality or direction of the equation could change. Always keep an eye out for signs, and double-check your steps! For \( v = u + at \), ensure that you've correctly isolated \( t \) without skipping any key algebraic steps, as this can lead to errors in your final solution.