Question 7. Substitute the given values and then solve for the unknown in each of the following common formulas. \( \begin{array}{l}\text { a. } v=u+\text { at } \\ \text { Solve for } a \text { given } v=6, u=2 \text { and } t=4 . \\ \text { Workspace }\end{array} \)

To solve for \( a \) in the equation \( v = u + at \), you'll start by substituting the values: \( v = 6 \), \( u = 2 \), and \( t = 4 \). Thus, the equation becomes: \( 6 = 2 + a(4) \). Now, rearranging this gives: \( 6 - 2 = 4a\) which simplifies to \( 4 = 4a \). Dividing both sides by 4, we find \( a = 1 \). Starting with this formula, did you know that variations exist in real-world applications? For instance, this equation models car acceleration. Imagine you’re at a stoplight, and your car’s initial velocity (u) is zero, but when the light turns green, you hit the gas, resulting in positive acceleration (a) and a new velocity (v). This simple concept illustrates how physics plays a crucial role in everyday activities like driving! For anyone diving into kinematics, remember that common mistakes include overlooking the signs of acceleration or forgetting to convert units. Always take a moment to double-check if your time is in seconds, velocity in meters per second, and how acceleration behaves (positive or negative). A small oversight can lead to huge misunderstandings in your calculations!