Chapter 1: Q8CP (page 15)

At 10:00 AM you are at the location $<- 3, 2, 5>$ m. By 10:02 AM you have walked to location $<6, 4, 25>$ m. (a) What is $∆ \vec{r}$ , the change in your position? (b) What is $∆ t$ , the time interval during which your position changed?

Short Answer

Expert verified

(a) Change in position is $∆ \vec{r} = <9, 2, 20>$ m

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

Step by step solution

Define the formula for the change in position

The formula for $∆ \vec{r}$ is $∆ \vec{r} = {\vec{r}}_{f} - {\vec{r}}_{i}$ 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 ${\vec{r}}_{f} = <- 3, 2, 5>$ m and ${\vec{r}}_{i} = <6, 4, 25>$ m into the formula of $∆ \vec{r}$ to obtain the change in position.

role="math" localid="1653482961357" $∆ \vec{r} = <6 - (- 3), 4 - 2, 25 - 5> = <9, 2, 20> m$

Therefore, the change in position is $<9, 2, 20> m$ .

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.

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At 10:00 AM you are at the location $<- 3, 2, 5>$ m. By 10:02 AM you have walked to location $<6, 4, 25>$ m. (a) What is $∆ \vec{r}$ , the change in your position? (b) What is $∆ t$ , the time interval during which your position changed?

Short Answer

Step by step solution

Define the formula for the change in position

Finding change in position

Finding time interval

One App. One Place for Learning.

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At 10:00 AM you are at the location-3,2,5m. By 10:02 AM you have walked to location6,4,25m. (a) What is ∆r→, the change in your position? (b) What is∆t , the time interval during which your position changed?

Short Answer

Step by step solution

Define the formula for the change in position

Finding change in position

Finding time interval

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Famous Physicists

Radiation

Electrostatics

Particle Model of Matter

Electric Charge Field and Potential

Fundamentals of Physics

Study anywhere. Anytime. Across all devices.

At 10:00 AM you are at the location $<- 3, 2, 5>$ m. By 10:02 AM you have walked to location $<6, 4, 25>$ m. (a) What is $∆ \vec{r}$ , the change in your position? (b) What is $∆ t$ , the time interval during which your position changed?