Final answer:
To find the value of x, we use the kinematic equation x = xo + Ut by identifying known quantities and substituting them into the equation. This calculates the displacement over time in a linear transformation scenario in physics.
Step-by-step explanation:
We are asked to find the value of x given a linear transformation t(x). In this context, assuming that we are dealing with a physics problem involving motion (due to the use of variables like initial position xo, initial velocity U, and time t), we use the provided kinematic equation:
x = xo + Ut
To solve for x, we need to know xo (the initial position), U (the velocity), and t (the time). The equation represents a simple linear relationship where displacement (x) is calculated based on the initial position and the product of velocity and time. If any of these values are unknown, we must first identify them using given information or other equations that relate to the motion of the object.
Once we have all the necessary values, we substitute them into the equation to calculate the transformation of x. The calculated change in position ∆x will be equal to the final value minus the initial value. Using this strategy, we can accurately determine the displacement in a given time frame.