Question

question 2 (10 points)
select correct equations.
$y = y_f - y_0$
$delta t = t_f - t_0$
$t = t_0 - t_f$
$delta z = z_0 - z_f$

Explanation:

Step1: Analyze displacement - time concepts

In physics, the change in a quantity is often represented as the final value minus the initial value. For example, the change in time $\Delta t$ is given by the final time $t_f$ minus the initial time $t_0$, i.e., $\Delta t=t_f - t_0$. Similarly, for a one - dimensional displacement in the $y$ - direction, $y = y_f - y_0$ can represent the displacement in the $y$ - direction.

Step2: Check each equation

1. The equation $y = y_f - y_0$ is a valid representation of displacement in the $y$ - direction.
2. The equation $\Delta t=t_f - t_0$ is a standard way to represent the change in time.
3. The equation $t=t_0 - t_f$ is incorrect. The correct form for time difference is $\Delta t=t_f - t_0$.
4. The equation $\Delta z=z_0 - z_f$ is incorrect. The correct form for the change in the $z$ - direction is $\Delta z = z_f - z_0$.

Answer:

$y = y_f - y_0$, $\Delta t=t_f - t_0$