Solve the following equation for t . \( s=\frac{1}{14} \mathrm{gt}^{2} \)

To solve for \( t \) in the equation \( s = \frac{1}{14} \mathrm{gt}^{2} \), you can start by isolating \( t^{2} \). Multiply both sides by 14 to get \( 14s = \mathrm{gt}^{2} \). Then, divide both sides by \( g \) to get \( t^{2} = \frac{14s}{g} \). Finally, take the square root of both sides to find \( t \): \[ t = \sqrt{\frac{14s}{g}}. \] Now you have expressed \( t \) in terms of \( s \) and \( g \)! If you're curious about the beauty of physics equations—they're like puzzle pieces that fit together! Physics equations help us understand the laws of motion, gravity, and energy. Just think about it: when you drop an object, the time it takes to hit the ground can be calculated using this formula! For those wanting to dive deeper into the world of physics, textbooks like "Fundamentals of Physics" by Halliday, Resnick, and Walker offer clear explanations and engaging examples. Alternatively, online platforms like Khan Academy provide interactive lessons that can make complex concepts feel approachable and fun!