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Q2: a. Angelica is paddling upstream at 1.00 m/s relative to the water in a river which is flowing at 0.50 m/s relative to the banks of the river. What is the resultant velocity of Angelica's boat (relative to the banks)? b. Angelica is paddling downstream at 1.00 m/s relative to the water in a river which is flowing at 0.50 m/s relative to the banks of the river. What is the resultant velocity of her boat (relative to the banks)? Q3: The takeoff speed of a military aircraft from an aircraft carrier is approximately 170 mi/hr relative to the air. They acquire this speed through a combination of a catapult system present on the aircraft carrier and the aircraft's jet propulsion system. A common strategy is to head the carrier and the plane into the wind. If a plane is taking off from an aircraft carrier which is moving at 40 mi/hr into a 20 mi/hr headwind, then what speed relative to the deck of the aircraft carrier must it obtain to takeoff? Q4. Melissa is shopping. She walks 15 m to the end of an aisle. She then makes a right hand turn and walks 20 m down the end aisle. Determine the magnitude of Melissa's resultant displacement.

          Q2: a. Angelica is paddling upstream at 1.00 m/s relative to the water in a river which is flowing at 0.50 m/s relative to the banks of the river. What is the resultant velocity of Angelica's boat (relative to the banks)?

b. Angelica is paddling downstream at 1.00 m/s relative to the water in a river which is flowing at 0.50 m/s relative to the banks of the river. What is the resultant velocity of her boat (relative to the banks)?

Q3: The takeoff speed of a military aircraft from an aircraft carrier is approximately 170 mi/hr relative to the air. They acquire this speed through a combination of a catapult system present on the aircraft carrier and the aircraft's jet propulsion system. A common strategy is to head the carrier and the plane into the wind. If a plane is taking off from an aircraft carrier which is moving at 40 mi/hr into a 20 mi/hr headwind, then what speed relative to the deck of the aircraft carrier must it obtain to takeoff?

Q4. Melissa is shopping. She walks 15 m to the end of an aisle. She then makes a right hand turn and walks 20 m down the end aisle. Determine the magnitude of Melissa's resultant displacement.

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Q2: a. Angelica is paddling upstream at 1.00 m/s relative to the water in a river which is flowing at 0.50 m/s relative to the banks of the river. What is the resultant velocity of Angelica's boat (relative to the banks)?

b. Angelica is paddling downstream at 1.00 m/s relative to the water in a river which is flowing at 0.50 m/s relative to the banks of the river. What is the resultant velocity of her boat (relative to the banks)?

Q3: The takeoff speed of a military aircraft from an aircraft carrier is approximately 170 mi/hr relative to the air. They acquire this speed through a combination of a catapult system present on the aircraft carrier and the aircraft's jet propulsion system. A common strategy is to head the carrier and the plane into the wind. If a plane is taking off from an aircraft carrier which is moving at 40 mi/hr into a 20 mi/hr headwind, then what speed relative to the deck of the aircraft carrier must it obtain to takeoff?

Q4. Melissa is shopping. She walks 15 m to the end of an aisle. She then makes a right hand turn and walks 20 m down the end aisle. Determine the magnitude of Melissa's resultant displacement.

Added by Jonathan M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

03/17/2022

Step 1

This can be calculated as follows: \[ V_{\text{resultant}} = V_{\text{paddling}} - V_{\text{river}} \] \[ V_{\text{resultant}} = 1.00 \, \text{m/s} - 0.50 \, \text{m/s} = 0.50 \, \text{m/s} \] Show more…

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a. Angelica is paddling upstream at 1.00 m/s relative to the water in a river which is flowing at 0.50 m/s relative to the banks of the river. What is the resultant velocity of Angelica's boat (relative to the banks)? b. Angelica is paddling downstream at 1.00 m/s relative to the water in a river which is flowing at 0.50 m/s relative to the banks of the river. What is the resultant velocity of her boat (relative to the banks)? Q3: The takeoff speed of a military aircraft from an aircraft carrier is approximately 170 mi/hr relative to the air. They acquire this speed through a combination of a catapult system present on the aircraft carrier and the aircraft's jet propulsion system. A common strategy is to head the carrier and the plane into the wind. If a plane is taking off from an aircraft carrier which is moving at 40 mi/hr into a 20 mi/hr headwind, then what speed relative to the deck of the aircraft carrier must it obtain to takeoff? Q4. Melissa is shopping. She walks 15 m to the end of an aisle. She then makes a right hand turn and walks 20 m down the end aisle. Determine the magnitude of Melissa's resultant displacement.

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Transcript

00:01 Hello, here we have to solve an assignment of three problems.

00:05 And in the first problem, let's start with question e.

00:09 So angelic is pedaling upstream at 1 meters per second relative to water.

00:27 Actually, let's label this, speed as v prime.

00:36 And the river is flowing at 0 .50 meters per second.

00:46 Relative to the banks.

00:49 And now we have to find the resultant velocity with respect to the banks.

00:56 So let's show it.

01:00 First of all, let's sketch this system.

01:21 So here, angelica is peddling upstream.

01:28 So it means that v -prime is directed to the left, to the right, while speed of water is directed to the right.

01:38 Right and speed of angelica with respect to the bank v is also directed to the right v equals to the vector sum of v prime and u and that equal and numerically that equals to so if we introduce x -axis then v x equals to vx equals to v prime x minus u x x so that equals then v equals to v prime minus u.

02:43 That is 1 .00 meters per second minus meters per second.

02:52 That is half a meter per second.

02:56 So that is answer to question a.

02:59 Now let's answer question b.

03:05 So now anglica is peddling downstream.

03:09 So it means that now v prime is the same in terms of the absolute value, while has an opposite direction.

03:25 So it means that now angelica is going to the left in the same direction as water.

03:34 Then the overall speed of the overall velocity of angelica is the sum of e prime and u.

03:45 And here let's introduce x -axis to the left.

03:50 So v equals to v prime plus u, which is 1 .50 meters per second or 1 .5 meters per second, if we take proper number of significant figures.

04:05 So question 2 is solved.

04:08 Now let's move on to the next one to question 3.

04:14 So here, take of speed of a military aircraft from an aircraft.

04:19 Carrier is approximately 170 miles per hour relative to the air.

04:28 So then let's label this price p -d -v -prime and that is 170 mile per hour.

04:45 So a common strategy is to have the carrier and the plane into the wind and the plane is taken off from an aircraft carrier which is moving at 40 miles.

05:00 Miles per hour in a headwind so that is let's label it as v -c -s -v carrier that is 40 mile per hour and the speed of the wind is 20 mile per hour so here we have to calculate speed of speed of the plane relative to the deck of the aircraft carrier.

05:44 Let's illustrate this system...

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