Question

calculate the velocity for the time interval between 2 and 4 seconds. show your equation, work, and units.

Explanation:

Step1: Identify the formula for average velocity

The formula for average velocity $v=\frac{\Delta x}{\Delta t}$, where $\Delta x$ is the change in position and $\Delta t$ is the change in time.

Step2: Determine the change in position ($\Delta x$)

At $t = 2$ s, the position $x_1=15$ m. At $t = 4$ s, the position $x_2 = 0$ m. So, $\Delta x=x_2 - x_1=0 - 15=- 15$ m.

Step3: Determine the change in time ($\Delta t$)

$\Delta t=t_2 - t_1=4 - 2 = 2$ s.

Step4: Calculate the velocity

$v=\frac{\Delta x}{\Delta t}=\frac{-15}{2}=-7.5$ m/s.

Answer:

The velocity for the time - interval between 2 and 4 seconds is $-7.5$ m/s.