Question 6 A butterfly moves with a speed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis must be 41.8°. 48.2°. 30.0°. 53.0°.
Added by Esther B.
Close
Step 1
We are given that $v = 12.0 \, m/s$ and $v_x = 8.00 \, m/s$. Let $\theta$ be the angle between the direction of motion and the x-axis. Then we have the relationship: $v_x = v \cos \theta$ Show more…
Show all steps
Your feedback will help us improve your experience
Prabhu Ramji and 68 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
1. A player throws a football 50 m at 61 degrees north of west. The westward component of the displacement of the football thrown is given by 43.73 m 24.24 m 64.72 m 74.00 m 0 m 2. A boy jumps at a speed of 20 m/s at an angle of 25 degrees above the horizontal. What is the vertical component of the boy's velocity? 18.13 m/s 15.62 m/s 8.45 m/s 12.64 m/s 20.0 m/s 3. A butterfly moves with a speed of 12 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x-axis must be
Prabhu R.
A dragonfly flies from point AAA to point BBB along the path shown in the figure in 2.00 s. (Figure 1) Figure 1 of 1 Part A Find the x and y components of the dragonfly's average velocity between AAA and BBB. Express your answers in meters per second, separated by a comma. vx, vy = Part B What is the magnitude of its average velocity between these two points? v = Part C What is the direction of its average velocity between these two points? θ = counterclockwise from +x axis
Timothy J.
A helicopter is heading N 65° W (i.e. direction angle of 155°) with an airspeed of 18 mph, and the wind is blowing N 18° E (i.e. direction angle of 72°) at 9 mph. Round all numbers in your answers below to 2 places after the decimal point. (a) Find the velocity vector that represents the true heading of the helicopter. Type your answer in component form, < a, b > (where a and b represent some numbers). Velocity vector of helicopter's true heading: (b) Find the helicopter's speed relative to the ground (in mph). Helicopter's speed = mph (c) Find the helicopter's drift angle, δ. (The drift angle is the number of degrees that the helicopter will end up flying off-course.) δ = degrees For the following two vectors, (a) calculate their dot product, and (b) find the angle θ between them (where 0° ≤ θ < 180°). Round your answers to 2 places after the decimal point. v = <13, -14>, w = <-13, 15> (a) v · w = (b) θ = degrees
Monica M.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD