Question

1. solve for the unknown

use the relationship among displacement, velocity, and time interval to find δx₁ during δt₁ = 10.0 s.

Explanation:

Step1: Recall the formula

The formula relating displacement ($\Delta x$), velocity ($v$), and time - interval ($\Delta t$) is $\Delta x=v\Delta t$. But since the velocity $v$ is not given in the problem statement, we assume a constant velocity $v$. Let's say the velocity is $v$.

Step2: Substitute the time - interval

We know that $\Delta t = 10.0\ s$. So, $\Delta x_1=v\times\Delta t_1$. Substituting $\Delta t_1 = 10.0\ s$, we get $\Delta x_1 = 10v$.

Answer:

$\Delta x_1 = 10v$ (where $v$ is the velocity)