physics sapling 2.2

A teacher leaves school at the end of the day and travels north 1.5 km and west 4.0 km to go to the gym. After leaving the gym, she travels south 3.5 km and east 2.0 km to stop at the grocery store, and then continues south 1.5 km and east 2 km until she reaches her house. Which of the statements below best describes the distance traveled and displacement of the teacher during her trip from school to home?

total distance is found by adding the lengths of each section of the teachers path: 1.5+4.0+3.5+2.0+1.5+2.0 =14.5 displacement is found by diagramming the path and determining the distance and direction from start to finish

A train is moving with constant velocity to the west. Four observers measure the velocity of the train in their frame of reference. Which observer will measure the greatest velocity of the train?

the conductor of a train moving east on an adjacent track

A car travels due south down the highway at a constant 50 mph. Which of the following observers is in the same frame of reference as the driver of the car? Mark all that apply.

-the driver of a second car travelling south at 50 mph -a passenger in the car

Lucy took exactly 5 minutes to drive 850 m through her neighborhood to Caitlin\'s house. If you drew a straight line between their two houses, it would only be 775 m, to the east. What was her average speed during the trip?

1. Write the unknown and givens s = ? ∆t = 5 min d =850 m ∆d = 755 m to the east 2. Determine the formula needed and rearrange if necessary s = d/∆t 3. convert units from minutes to seconds 5 min x (60 s/ 1 min) =300 s 4. plug in values and solve for unknown s = 850 m/300 s --> 2.83 m/s

which position vs time graph best matches the data time: distance: 0 0 1 2 2 6 3 12 4 20 5 30

During each 1 s interval, the distance not only increases, but increases by 2 m more than during the previous 1 s interval. This pattern shows not only forward motion, which creates an upwardly sloping line, but also acceleration, which is illustrated by an increasing slope, or an upwardly curving line.

A train is rolling slowly through a station. A conductor walks back and forth through the train collecting tickets. How does a person standing in the station see the conductor\'s motion?

The conductor\'s velocity is greater than the velocity of the train when he is walking towards the front of the train.

During an important game, a football coach paces along the side of the field. At the start of the 4th quarter, he is standing at the 90-yard line. The coach walks 75 meters to the left, does a u-turn and then walks 30 meters back to the right. The coach does another u-turn and walks 35 meters to the left before coming to a stop. Calculate the overall displacement of the coach.

The displacement of the coach is his change in position during the 4th quarter. When describing direction mathematically, motion to the right is considered to be positive and motion to the left is considered to be negative. The coach\'s motion can be rewritten mathematically as: 75 meters to the left = -75 m 30 meters back to the right = 30 m 35 meters to the left = -35 m The total displacement is the sum of each individual displacement: where, again, the sign (positive, negative) indicates the direction (right, left)

he American Honeybee flies at 6.10 m/s. How far can the bee travel in one minute?

The speed and flight time of the honeybee are given; you are asked to find the distance. The equation that relates speed (s), time (t), and distance (d) is: s = d/t Rearrange the equation to solve for distance: d =(s)(t) Substitute the given information into the equation. Convert 1 minute to 60 seconds since the speed is given in units of meters per second.

Janis lives 2.50 kilometers away from the grocery store. Janis walks to the grocery store and back three times a week. What is the total distance Janis walks each week to buy groceries?

The total distance traveled by Janis each week can be found by first finding the total distance of one trip to the grocery store, then multiplying by the number of trips Janis takes each week. During one trip to the store, Janis travels 2.50 km to the store and then an additional 2.50 km back to her home. Therefore, during one trip, Janis walks 5.00 km. Janis walks to the store three times each week. Therefore the total distance traveled each week is three times as far as one trip, 15.0 km.

A person on the third floor takes the elevator up 3 floors, crosses to the other side of the building then takes the elevator on that side up by 3. The height of each floor is 4.0 m and the width of the building is 13.0 m. What is the person\'s displacement?

To find the displacement, we first find how far above the person is from where they started. ∆y = 4.0 m x (3.0 +3.0) =24 m d =√(24 m)² + (13 m)² = 27.3 m

the chart contains position and time date which situation below best explains the motion described in the chart time: position: 0 0 1 15 2 20 3 45 4 62 5 81 6 102 7 125 8 150 9 175 10 200

a man drives slowly along a city street. when he reaches a freeway entrance ramp, he accelerates until he reaches the freeway speed limit explanation: During each time interval, the position of the object increases, meaning that it is moving forward at all times. First, the change in position is constant at 15 every time interval. This means that the object is moving with a constant positive velocity. Then the change in position increases by 2 each time interval. Since the rate of change in position is also increasing, the object is accelerating. Finally, the change in position is constant at 25 every time interval, meaning that it again has a positive constant velocity.