on a day the wind is blowing towards the south at 7 m/s, a runner jogs west at 7 m/s. what is the velocity (speed and direction) of the air relative to the runner?

Answers

Answer 1

Velocity is the rate of change of position of an object. The velocity of the air relative to the runner is 5√2 m/sec and it is in the southwest direction.

What is Velocity?

Velocity is the directional speed of a moving object as an indicator of its rate of change in location as perceived from a certain frame of reference and measured by a specific time standard.

Given that on a day the wind is blowing towards the south at 7 m/s, a runner jogs west at 7 m/s. Therefore, the velocity of the air relative to the runner can be written as,

Relative velocity = √[(Velocity of the jogger)² + (Velocity of the air)²]

                            = √[(5)² + (5)²]

                            = √(25 + 25)

                            = √50

                            = 5√2 m/sec

The direction of the relative velocity is,

The angle of relative Velocity = Tan(θ)

Tan(θ) = Vertical velocity / Horizontal velocity

Tan(θ) = 5/5

Tan(θ) = 1

θ = tan⁻¹(1)

θ = 45°

Since this angle is formed between the two velocities, therefore, the direction of the velocity is southwest.

Hence, the velocity of the air relative to the runner is 5√2 m/sec and it is in the southwest direction.

Learn more about Velocity here:

https://brainly.com/question/18084516

#SPJ4


Related Questions

The DEA approves drugs for dispensing in the United States

true or false

Answers

Answer:

false. the DEA does not approve this

Other Questions
Number 7 is the one I need help with please Which of the following details on page 1 most strongly suggests Beowulfs power?Answer choices for the above questionA. Beowulfs armorB. Beowulfs size compared to othersC. Beowulfs faceD. Beowulfs speech I Need help pls i forgot what to do with this math problem Which statements describe the Tlingit tribe? Select three options.They were the first Northwest Indigenous group to have contact with Europeans.They helped James Cook and his expedition of the Pacific Northwest.They lived in the Northeast, along the St. Lawrence Valley.They lived on the southern islands and coast of present-day Alaska.They traded furs with Europeans for metal blades and other goods.Thank you! how does the author manipulate pacing in this expert? BRAINLIESTTTTTT!!!!!!! African Americans who migrated from the South to the North in the early twentieth century were in search of economic opportunities in industrial cities like Detroit and Pittsburgh. Many instead found jobs in Ohio and settled there; this is an example of:Question 2 options:periodic movementIntervening obstaclecyclic movementintervening opportunitydemographic transition Jan and Dinah both ran for 20 seconds, each at a constant speed. Jan ran 50 mefers and Dingh ran 60 meters. 1. Who was moving faster? Explain how you know. 2. How far did each person move in 1 second? Evaluate x for x = 2.060208 If f and g are both even functions, is f g necessarily even? if both are odd, is their sum necessarily odd? What is the 19th term of the sequence:gn=gn1(12) if g17=162the sixth term is ______ The telephone company offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls and Plan 2 charges $13 per month plus $0.04 per call. a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2. b. Explain the meaning of the answer to part a. What happened to the solid lithium when the temperature was decreased?A. Nothing changed.B. Its shape changed.C. Its volume changed. Nora is starving after her dance recital. She grabs a protein drink, carefully looking at the label. The drink has 100 calories but 41 of those calories are from fat. Scanning down the label, Nora sees that the fat content is 5%DV. Taking into account the FDAs standards, which statement is true of Noras choice?A. The ratio of calories to calories from fat means that Noras drink is not a healthy choice.B. The fat content does not matter since the caloric count of the drink is so low.C. Nora is consuming more than her recommended daily value of fat with this one drink.D. The protein drinks total fat is considered a low amount of Noras daily recommended value. Which reconstruction plan required the southern states to ratify the 14th amendment? 50 pointsadd and write the fraction in its simplest form.-7/8 + (-2 1/6) = 4. Which is a NOT a unit for speed? (4 points)1.cm/min2.km/h3.m/s4.km Directions: Provide the chemical name of the given chemical formula.Chemical Formula1. Zn(ClO)22. Mn3N43. NaSO44. CO(NO3)35. K(MnO4)6. NSs7. P4068. HCIO(aq)9. HSO3(aq)10. H3P(aq) A management concept based on an understanding of the changing needs and wants of customers and aligning operations accordingly, is called:________ Determine whether each sequence is geometric. If so, find the common ratio. 10,4,1.6,0.64, . . . . . hmm....What is Human resources?