**Displacement and Velocity Calculation for a Cab Trip**A cab driver embarks on a journey with the following parameters:- **Initial Leg**: Travels south at a constant speed of \( v_1 = 20.0 \, \text{m/s} \) for \( t_1 = 3.00 \, \text{min} \).- **Second Leg**: Takes a right turn and travels at \( v_2 = 25.0 \, \text{m/s} \) for \( t_2 = 2.40 \, \text{min} \).- **Final Leg**: Drives northwest at \( v_3 = 30.0 \, \text{m/s} \) for \( t_3 = 1.00 \, \text{min} \).The total duration of the trip is \( 6.40 \, \text{min} \). Assume the positive \( x \)-axis is in the eastward direction.### Calculations Required:**(a) Total Vector Displacement**- *Magnitude:* Determine the displacement in meters.- *Direction:* Specify in degrees south of west.**(b) Average Speed**- Compute the average speed in meters per second (m/s).**(c) Average Velocity**- *Magnitude:* Compute in meters per second (m/s).- *Direction:* Indicate in degrees south of west.**Graphical Representation:**This task involves calculating vector magnitudes and directions for each leg of the trip and subsequently determining the resultant vector for total displacement and average velocity. There are no graphical diagrams provided in the context.

(a) vector displacement D→=D→1+D2→+D→3=v→1t1+v2→t2+v→3t3=20.0 m/s-j^3.00 min+25.0 m/s-i^2.40…

A cab driver heads south with a steady speed of v, = 20.0 m/s for t, = 3.00 min, then makes a right turn and travels at v, = 25.0 m/s for t, = 2.40 min, and then drives northwest at 30.0 m/s fort, = 1.00 min. For this 6.40-min trip, calculate the following. Assume +x is in the eastward direction. V3 (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) magnitude direction ° south of west (b) average speed (in m/s) m/s (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.) magnitude m/s o south of west 11:43 AM direction

A cab driver heads south with a steady speed of v, = 20.0 m/s for t, = 3.00 min, then makes a right turn and travels at v, = 25.0 m/s for t, = 2.40 min, and then drives northwest at 30.0 m/s fort, = 1.00 min. For this 6.40-min trip, calculate the following. Assume +x is in the eastward direction. V3 (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) magnitude direction ° south of west (b) average speed (in m/s) m/s (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.) magnitude m/s o south of west 11:43 AM direction

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: a truck travels a distance d=22.1m in the positive x direction in a time t1=17.7s, at which point…

Q: In the classic book by Jules Veme, Phileas Fogg travels around the world in 80 days. Leaving London,…

A: Given data: Time (t) = 80 days Radius of the earth (r) = 6.38 × 106 m/s Starting from London and…

Q: I have no idea to how to start to this question: Wags (a dog) decides to go on a journey. He begins…

Q: A cart starting from rest at a height of 1.00 m above a tabletop can roll down two different…

A: AD=1 mWe know, acceleration along the ramp is :

Q: airplane with a still air velocity of 250.km/hr flies directly West to a destination that is 400.km…

A: if vectors are opposite their resultant R =A- B

Q: 390 m/s due west at one moment and 450m/s due north 10.0 s later. Find the plane’s average…

A: We know that An airplane is flying 390 m/s due west at one moment and 450m/s due north 10.0 s later.…

Q: An orienteer (a person who uses a map to find things) starts as point A, walks 300 meters North then…

Q: A bus driver heads south with a steady speed of v₁ = 24.0 m/s for t₁ = 3.00 min, then makes a right…

Q: Problem 2: Att = 0, a truck is traveling east at a constant speed of s = 81 km/h. At an intersection…

A: Given: The speed of the truck is s. The distance between truck and car is d. The speed of the car is…

Q: = At time to = 0s, a jogger is heading due east with speed Vo = 1.4 m/s. At time t₁ = 3.0s, she is…

Q: Two straight roads intersect at right angles. At 10 am a car passes through the intersection headed…

A: If an object is moving with constant speed or velocity, the acceleration becomes zero. Acceleration…

Q: A speedboat moves on a lake with initial velocity vector ?1,?=8.81 m/sv1,x=8.81 m/s and ?1,?=−2.45…

A: Given, The initial speed of the speedboat, v1x = 8.81 msv1 = -2.45 ms Time, t = 6.63 s…

Q: Needs Complete typed solution with 100 % accuracy.

A: The objective of this question is to find the time at which the rocket reaches its maximum height.…

Q: A motor cycle driving on Washington Avenue by UAlbany travels 35.0 m in 8.90 s while uniformly…

A: The final velocity of the motorcycle, vf = 2.10 m/s The time interval, t = 8.90 s The distance…

Q: In reaching her destination, a backpacker walks with an average velocity of 1.18 m/s, due west. This…

A: Suppose x is the distance the backpacker moved with velocity 0.717m/s, then the total displacement…

Q: A bus makes a trip according to the position-time graph shown in the drawing. What is the average…

Q: Cylinder B has a downward velocity in feet per second given by vB = 0.75t2 + 0.45t3, where t is in…

A: The downward velocity of cylinder B is vB = 0.75t2 + 0.45t3.The time is 2.46 sec.

Q: Lately, Jason has been taking drivers' ed so that he can get his license. However, he's also been…

Q: A robot has been programmed so that it has an acceleration given by a = 07 - Btj in the coordinate…

A: This is a question from the 2 dimensional motion of a particle, its answers can be given as…

Q: The position vector of a particle is given as r = (t^2-6t+8)i + (t^2-9)j Find the magnitude…

A: Position vector is the vector form of displacement by the body when it is in motion. r→=ati^+btj^…

Q: Ajetliner, traveling northward, is landing with a speed of 68.2 m/s. Once the jet touches down, it…

A: Given data: Initial velocity (u) = 68.2 m/s Displacement (d) = 750 m Final velocity (v) = 7.16 m/s…

Q: A cab driver heads south with a steady speed of v₁ = 22.0 m/s for t₁ = 3.00 min, then makes a right…

A: (a)distances has been calculated in diagram by multipliying velocity by time (in sec)

Q: In reaching her destination, a backpacker walks with an average velocity of 1.14 m/s, due west. This…

Q: Ex. 2. A car driver in northern Ontario makes the following displacements: Ad₁= 15.0 km [W 30.0°N]…

Q: 1つ7 3. An object undergoes motion in 2 dimensions under a constant acceleration of "-2.50 m/s at an…

Q: In reaching her destination, a backpacker walks with an average velocity of 1.01 m/s, due west. This…

A: Write the expression for the average velocity and elaborate the expression.

Q: f(t) = - 16t + 389t+ 21 is the height (in feet) of a ball launched straight up t seconds after it is…

Q: A chauffeur heads south with a steady speed of v, - 22.0 m/s for t, - 3.00 min, then makes a right…

A: GIVEN A chauffeur heads south with a steady speed of v1 = 22.0 m/s for t1 = 3.00 min,…

Q: With only a few seconds left in the game a football quarterback needs to score a touchdown. He's 35…

A: Part A:- R35 yrds= 105 ft Also R = (u^2 sin2θ)/g 105= (u^2 sin(2×41))/32 Hence; u= 57.97…

Q: A bus driver heads south with a steady speed of v1 = 20.0 m/s for t1 = 3.00 min, then makes a right…

Q: A treasure hunter follows a map moving 25 km [N], 37 km [W 37 degrees S], 63 km [E 65 degrees S] and…

A: Average speed of the hunter is u = 45 km / hr

Q: During 9.67 s, a motorcyclist changes his velocity from v1,x = -39.1 m/s and v1,y = 13.7 m/s to v2,x…

A: Given data The time taken by the motorcyclist is t = 9.67 s The initial velocity of the motorcyclist…

Q: A student drove to the university from her home and noted that the odometer reading of her car…

A: a)Write the expression for the average velocity and substitute the corresponding values.The average…

Q: A train slows down as it rounds a sharp horizontal turn, going from 96.0 km/h to 40.0 km/h in the…

Q: A vehicle travels at a speed of 4 m/ sec along a horizontal Circular road that has a radius of 50m…

Q: At t=0, an object moves with an (a) Determine the magnitude of t 40 ✔ m/s² (b) Determine the…

Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

**Displacement and Velocity Calculation for a Cab Trip**

A cab driver embarks on a journey with the following parameters:

- **Initial Leg**: Travels south at a constant speed of \( v_1 = 20.0 \, \text{m/s} \) for \( t_1 = 3.00 \, \text{min} \).
- **Second Leg**: Takes a right turn and travels at \( v_2 = 25.0 \, \text{m/s} \) for \( t_2 = 2.40 \, \text{min} \).
- **Final Leg**: Drives northwest at \( v_3 = 30.0 \, \text{m/s} \) for \( t_3 = 1.00 \, \text{min} \).

The total duration of the trip is \( 6.40 \, \text{min} \). Assume the positive \( x \)-axis is in the eastward direction.

### Calculations Required:

**(a) Total Vector Displacement**

- *Magnitude:* Determine the displacement in meters.
- *Direction:* Specify in degrees south of west.

**(b) Average Speed**

- Compute the average speed in meters per second (m/s).

**(c) Average Velocity**

- *Magnitude:* Compute in meters per second (m/s).
- *Direction:* Indicate in degrees south of west.

**Graphical Representation:**
This task involves calculating vector magnitudes and directions for each leg of the trip and subsequently determining the resultant vector for total displacement and average velocity. There are no graphical diagrams provided in the context.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Current Attempt in Progress In reaching her destination, a backpacker walks with an average velocity of 1.41 m/s, due west. This average velocity results, because she hikes for 6.94 km with an average velocity of 2.42 m/s due west, turns around, and hikes with an average velocity of 0.638 m/s due east. How far east did she walk (in kilometers)? VW 71 Number i West Units dw VE East dE
T2.24 Please help me answer this physics question.
I need part d and e
Could I have help with this physics problem
An airplane starts at rest and accelerates at 8.4 m/s^2at an angle of 35 degrees south of west. After 11 s, how far in the westernly direction has the plane traveled? After 11 s how far has the plane traveled in the southernly direction?
Same question asking two different things
One of the fastest known animals is the Indian spine-tailed swift. A swift flies 2.80 km due north in a time of 32.8 s. a. What is its average velocity due north in meters per second? Enter a positive value if the average velocity is due north and enter a negative value if it is due south. answer in m/s b. What is its average velocity due north in miles per hour? Enter a positive value if the average velocity is due north and enter a negative value if it is due south. anser in mi/h
You drive West 30.0 km at 85 km/h and then drive East another 60.0 km at 95 km/h. Your average velocity for the entire drive will be... How would I go about solving this problem?
Help
A model rocket is launched with an initial upward velocity of 195 ft/s. The rocket's height h (in feet) after t seconds is given by the following. h=195t–16 Find all values of t for which the rocket's height is 87 feet. Round your answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.) t = || seconds or O ground
Show the following identity?