One dimensional kinematics

Jim and Harry are walking to the bus stop which is 0.5 miles to the left of Jim's house. It takes them 20 minutes to arrive. As soon as they get to the bus stop, Jim realizes he forgot his lunch and runs back home, taking 10 minutes. He then rushes back, which takes him another 12 minutes. 0.5 mi=804.67 m What was Jim's average velocity in m/s for the entire trip?

-0.319 m/s or 0.319 west (20min*60s+10min*60s+12min*60s=2520s) (804.67/2520s= 0.319m/s)

Jim sees a spider and lets out a loud scream. Then he starts running away as fast as he can to the left. He travels 20 meters in 10.2 seconds. What is his average velocity in m/s and mi/hr?

-1.96 m/s or 1.96 m/s left -4.39 mi/hr or 4.39 mi/hr left

Cindy notices Jim coming to her house and decides to run out the door 150 meters to the east. Afterward, Cindy goes to Harry's house which is 40 meters to the west of Cindy's house. What is Cindy's displacement?

-40 m (west)

Jim and Harry are walking to the bus stop which is 0.5 miles to the left of Jim's house. It takes them 20 minutes to arrive. As soon as they get to the bus stop, Jim realizes he forgot his lunch and runs back home, taking 10 minutes. He then rushes back, which takes him another 12 minutes. What is Jim's average speed in m/s for the entire trip?

.96m/s

Cindy is running a 5k (5000 meters) loop for her first cross country meet. Jim walks to make sure he is at the finish line when she finishes, but he also wants to get a hotdog. Cindy usually runs with a speed of 4.3 meters/second. t=d/s What is Cindy's average velocity when she finished the race?

0m/s

Jim sees a spider and lets out a loud scream. Then he starts running away as fast as he can to the left. He travels 20 meters in 10.2 seconds. What is his average speed in m/s and mi/hr?

1.96 m/s 4.39 mi/hr

Jim travels 60 meters east to go to Cindy's house. However, Cindy is not home so he decides to head to 40 meters west to hang out with Harry. What distance did Jim travel?

100 m

Cindy is running a 5k (5000 meters) loop for her first cross country meet. Jim walks to make sure he is at the finish line when she finishes, but he also wants to get a hotdog. Cindy usually runs with a speed of 4.3 meters/second. t=d/s About how long does Jim have to get his hotdog?

1162.8s or 19.38 minutes (5000m/4.3=1162.8s) (1162.8s/60s=19.38)

Jim's mom tells Jim to go buy some eggs at the grocery. On his way Jim sees and walks up to a red penguin 50 meters to the right of the grocery store. He's so excited he forgets about the eggs and runs to Cindy's house to tell her about this. Then Jim gets a call from his mom asking about the eggs. He rushes to the grocery store before it closes, but as soon as he gets there he passes out. How far does Cindy live from Jim?

125 m

Jim travels 60 meters east to go to Cindy's house. However, Cindy is not home so he decides to head to 40 meters west to hang out with Harry. What is Jim's displacement

20 m (east)

Jim's mom tells Jim to go buy some eggs at the grocery. On his way Jim sees and walks up to a red penguin 50 meters to the right of the grocery store. He's so excited he forgets about the eggs and runs to Cindy's house to tell her about this. Then Jim gets a call from his mom asking about the eggs. He rushes to the grocery store before it closes, but as soon as he gets there he passes out. What is Jim's displacement?

200 m

Cindy notices Jim coming to her house and decides to run out the door 150 meters to the east. Afterward, Cindy goes to Harry's house which is 40 meters to the west of Cindy's house. What distance did Cindy travel?

340 m

Jim's mom tells Jim to go buy some eggs at the grocery. On his way Jim sees and walks up to a red penguin 50 meters to the right of the grocery store. He's so excited he forgets about the eggs and runs to Cindy's house to tell her about this. Then Jim gets a call from his mom asking about the eggs. He rushes to the grocery store before it closes, but as soon as he gets there he passes out. What is total distance Jim traveled?

450 m

Cindy sees an ice cream truck and charges toward it to the right. She runs 60 meters in 8.2 seconds. *1609.34 meters=1 mile What is her average speed in m/s and mi/hr?

7.32 m/s 16.37 mi/hr

Cindy sees an ice cream truck and charges toward it to the right. She runs 60 meters in 8.2 seconds. *1609.34 meters=1 mile What is her average velocity in m/s and mi/hr?

7.32 m/s or 7.32 m/s right (60/8.2) 16.37 mi/hr or 16.37 mi/hr right (7.32min*60s*60min*1 mile/1min*1hr*1609.34)

Can you drive your car in such a way that the distance it covers is less than the magnitude of its displacement?

No

Cindy is running a 5k (5000 meters) loop for her first cross country meet. Jim walks to make sure he is at the finish line when she finishes, but he also wants to get a hotdog. Cindy usually runs with a speed of 4.3 meters/second. t=d/s Explain why Cindy's average velocity differs from her average speed when she finishes the race.

The displacement and the distance are different, since she is not running in a straight line.

Can you drive your car in such a way that the distance it covers is greater than the magnitude of its displacement?

Yes, if you do not drive in a straight line

Can you drive your car in such a way that the distance it covers is equal to the magnitude of its displacement?

Yes, if you drive in a straight line

vector

a quantity that has both a magnitude and a direction

scalar

a quantity that has only a magnitude; number or value

distance

a scalar quantity that refers to how far your ending point is from your starting point

displacement

a vector quantity that refers to how far your ending point is from your starting point

If someone is moving at a constant speed of 10 m/s, this means that the person.....

moves 10m every speed

20 degrees Celsius

scalar

4000 calories

scalar

5 meters

scalar

one dimension

straight line, to the left or to the right, up or down, east or west

velocity

the ratio of displacement and time can be both positive or negative avg velocity=displacement/time

speed

the ratio of distance and time always positive avg speed=distance traveled/time s=d/t

kinematics

the study of motion using words, numbers, graphs, and equations

-10 centimeters

vector

30 meters/second east

vector