Question

1. a person is driving his car to a store. the store is 800 m north of the persons starting point. after traveling north 1200 m, the person realizes that he has passed the store. he turns the car around and drives back to the store. altogether, the trip to the store takes 100 s.

a) determine the distance traveled by the car on this trip to the store. show your calculations and include units in your answer.
b) calculate the average speed of the car on this trip. show your calculations and include units in your answer.
c) determine the displacement of the car for this trip. include units in your answer.
d) calculate the average velocity of the car upon arrival at the store. show your calculations and include units in your answer.

1. a person walks 150. meters due east and then walks 30. meters due west. the entire trip takes the person 10. minutes. determine the magnitude and the direction of the persons total displacement.
2. base your answer(s) to the following question(s) on the information.

a hiker walks 5.00 kilometers due north and then 7.00 kilometers due east.
what total distance has she traveled?

1. base your answer(s) to the following question(s) on the information below.

a 75 - kilogram athlete jogs 1.8 kilometers along a straight road in 1.2×10³ seconds.
determine the average speed of the athlete in meters per second.

Explanation:

Step1: Calculate distance for 17a

The person drives 1200 m north and then (1200 - 800)=400 m south. The distance $d$ is the sum of the lengths of the paths traveled.
$d=1200 + 400=1600$ m

Step2: Calculate average - speed for 17b

The formula for average speed $v_{avg}=\frac{d}{t}$. Here, $d = 1600$ m and $t = 100$ s.
$v_{avg}=\frac{1600}{100}=16$ m/s

Step3: Calculate displacement for 17c

Displacement is the straight - line distance from the starting point to the ending point. The store is 800 m north of the starting point, so the displacement $\Delta x=800$ m north.

Step4: Calculate average velocity for 17d

The formula for average velocity $v_{avg,vel}=\frac{\Delta x}{t}$. Here, $\Delta x = 800$ m north and $t = 100$ s.
$v_{avg,vel}=\frac{800}{100}=8$ m/s north

Step5: Calculate total distance for 18

The person walks 150 m east and then 30 m west. The total distance $d_{total}=150 + 30=180$ m.
The net displacement in the east - west direction is $150−30 = 120$ m east. The displacement is 120 m east.

Step6: Calculate total distance for 19

The hiker walks 5.00 km north and 7.00 km east. The total distance $d=5.00 + 7.00=12.00$ km.

Step7: Calculate average speed for 20

First, convert 1.8 km to m: $1.8$ km=$1.8\times10^{3}$ m.
The formula for average speed $v=\frac{d}{t}$, where $d = 1.8\times10^{3}$ m and $t = 1.2\times10^{3}$ s.
$v=\frac{1.8\times10^{3}}{1.2\times10^{3}} = 1.5$ m/s

Answer:

17a. 1600 m
17b. 16 m/s
17c. 800 m north
17d. 8 m/s north

1. Magnitude: 120 m, Direction: east
2. 12.00 km
3. 1.5 m/s