Question

name: gutavo martínez unit 1: math quiz

1. a hiker walks 800 m north and then 500 m south. what is the magnitude of the hikers displacement? 800 mn - 500 ms = 300 mn
2. a person walks 250 m west and then 400 m east. what is the total displacement from the starting point? 250 mw - 400 me = -150 me
3. a boat sails 1.2 km south from the dock, then turns around and travels 2.5 km north. what is the boats displacement from the dock? - 1.2 k - 2.5 kmn = -1.3 kmn
4. lena jogs 1.5 miles east, takes a break, and then jogs 1.0 mile west. what is her displacement from where she started? 1.5 me - 1.0 mw = 0.5 me
5. two friends are biking. one is 2.0 km west of a school, and the other is 1.5 km east of the school. what is the distance between the two friends? 2.0 kmw + 1.5 kme = 3.5 kmw
6. a delivery truck covers 90 kilometers in 1 hour and 30 minutes. what is the average speed of the truck in km/h? s = d/t 90/1.50 = 60 km/h
7. a cyclist rides 12,000 meters in 40 minutes. what is the average speed of the cyclist in km/h? s = d/t 12,000/40 = 20 km/h
8. a train travels 250 kilometers in 2 hours and 15 minutes. what is the average speed of the train in km/h? s = d/t 250/135
9. a runner completes a distance of 8 km in 32 minutes. what is the runners average speed in m/s?
10. a car drives 72 kilometers at an average speed of 60 km/h. how much time (in minutes) did the car take to travel this distance?
11. a car starts from rest and reaches a velocity of 20 m/s in 5 seconds. what is the cars average acceleration?
12. a bicyclist increases speed from 4 m/s to 10 m/s in 3 seconds. what is the acceleration? (10 - 4)/3 a = 2 m/s²

Explanation:

Answer:

1. \(300\ m\ N\)
2. \(- 150\ m\ E\)
3. \(-1.3\ km\ N\)
4. \(0.5\ m\ E\)
5. \(3.5\ km\ W\)
6. \(60\ km/h\)
7. \(18\ km/h\)
8. \(111.11\ km/h\)
9. \(4.17\ m/s\)
10. \(72\) minutes
11. \(4\ m/s^{2}\)
12. \(2\ m/s^{2}\)