Question

At 10:00 AM you are at the locationm. By 10:02 AM you have walked to locationm. (a) What is $∆\overrightarrow{r}$, the change in your position? (b) What is$∆t$ , the time interval during which your position changed?

Short answer

(a) Change in position is m

(b) Time interval is localid="1653483524995" $∆t=120s$

Step-by-step solution

Define the formula for the change in position

The formula for$∆\overrightarrow{r}$ is$∆\overrightarrow{r}={\overrightarrow{r}}_f-{\overrightarrow{r}}_i$ where stands for final position and stands for initial position.

The formula for$∆t$ is$∆t=t_f-t_i$ where, stands for final time and stands for initial time.

Finding change in position

(a)

Substitute m and m into the formula of $∆\overrightarrow{r}$to obtain the change in position.

role="math" localid="1653482961357"

Therefore, the change in position is .

Finding time interval

From the given information, $t_f$= 10 : 02 AM and $t_i$= 10 : 00 AM

Subtract initial time from the final time to obtain the time interval.

$∆t$= 120 s

Thus, the time interval is 120 s.