Question

The position of a bird flying parallel to the ground is given by the following equation...

The position of a bird flying parallel to the ground is given by the following equation as a function of time:
?⃗ = [2.9? + (0.09 ?⁄?^2)?^2]?̂ − (0.015 ?⁄?^3)?^3?̂
(a) At what value of t does the velocity vector of the bird make an angle of 30o clockwise from the +x axis?
(b) At the time calculated in part (a) what are the magnitude and direction of the bird’s acceleration vector?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. The position of a bird in the xy-plane is given by ?⃗ = (3.0?−∝ ?)?̂+...
1. The position of a bird in the xy-plane is given by ?⃗ = (3.0?−∝ ?)?̂+ ?? 2 ?̂where ∝= 1.6 ?/? and ? = 0.8 ?/? 2 . a) What are Vx(t) and Vy(t), x and y components of the velocity of the bird as a function of time? b) What is the bird’s net velocity at 3.0 s (magnitude and direction)? c) What are ax(t) and ay(t), x and y components of the acceleration of the bird as...
A particle moves in the xy plane. Its position vector function of time is ?⃑ =...
A particle moves in the xy plane. Its position vector function of time is ?⃑ = (2?3 − 5?)?̂ + (6 − 7?4)?̂ where r is in meters and t is in seconds. a) In unit vector notation calculate the position vector at t =2 s. b) Find the magnitude and direction of the position vector for part a. c) In unit vector notation calculate the velocity vector at t =2 s. d) Find the magnitude and direction of the...
The position ? of a particle moving in space from (t=0 to 3.00 s) is given...
The position ? of a particle moving in space from (t=0 to 3.00 s) is given by ? = (6.00?^2− 2.00t^3 )i+ (3.00? − ?^2 )j+ (7.00?)? in meters and t in seconds. Calculate (for t = 1.57 s): a. The magnitude and direction of the velocity (relative to +x). b. The magnitude and direction of the acceleration (relative to +y). c. The angle between the velocity and the acceleration vector. d. The average velocity from (t=0 to 3.00 s)....
1) The position of an object moving along the x-axis is given by x(t) = 2t^2...
1) The position of an object moving along the x-axis is given by x(t) = 2t^2 - 21t^2 + 100t. At what time is the object moving the slowest? 2) A water balloon is thrown upward from a window 25 m above the ground and hits the ground 3.30 s later. What’s the maximum height above the window that the balloon reaches? 3) A boy throws a rock with an initial velocity of 5.15 m/s at an angle 30° above...
Kinematics Examples: A) A cat has a time dependent position given by x(t) = 4.50 m...
Kinematics Examples: A) A cat has a time dependent position given by x(t) = 4.50 m + (3.20 m/s^2) t^2 - (1.75 m/s^3) t^3 Find Velocity as function of time? Find acceleration as a function of time? Find the position velocity, and acceleration of the cat at t = 3.00 s? Find average velocity and average acceleration for the 1st 3.00s? Find the position of the cat when it first changes direction? B) A robot starts at X0 = 4.00m...
1)A particle moves along the x axis. Its position is given by the equation x =...
1)A particle moves along the x axis. Its position is given by the equation x = 1.8 + 2.5t − 3.9t2 with x in meters and t in seconds. (a) Determine its position when it changes direction. (b) Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.) 2)The height of a helicopter above the ground is given by h = 3.10t3, where...
Consider a 200 kg spacecraft orbiting the Earth. The vehicle’s position at a given time (lets...
Consider a 200 kg spacecraft orbiting the Earth. The vehicle’s position at a given time (lets call it time zero), relative to a non-rotating reference frame with origin at Earth’s centre, is r = −5310i + 5040j km. Its velocity vector at time zero is v = −4.85i − 6.37j km/s. 1. Calculate the distance from Earth’s centre to the spacecraft, the speed of the spacecraft, and the specific angular momentum (magnitude and direction) relative to Earth’s centre at time...
It is common to see birds of prey rising upward on thermals. The paths they take...
It is common to see birds of prey rising upward on thermals. The paths they take may be spiral-like. You can model the spiral motion as uniform circular motion combined with a constant upward velocity. Assume a bird completes a circle of radius 6.00 mevery 5.00 s and rises vertically at a rate of 3.00 m/s. 1. Find the speed of the bird relative to the ground. Express your answer using three significant figures. 2. Find the magnitude of the...
The equation x(t) = −bt2 + ct3 gives the position of a particle traveling along the...
The equation x(t) = −bt2 + ct3 gives the position of a particle traveling along the x axis at any time. In this expression, b = 4.00 m/s2, c = 4.80 m/s3, and x is in meters when t is entered in seconds. For this particle, determine the following. (Indicate the direction with the sign of your answer as applicable.) (a) displacement and distance traveled during the time interval t = 0 to t = 3 s displacement     distance     (b)...
The Moon orbits the Earth in an approximately circular path. The position of the Moon as...
The Moon orbits the Earth in an approximately circular path. The position of the Moon as a function of time is given by x(t) = r cos(ωt) y(t) = r sin(ωt), where r = 3.84 10^8 m and ω = 2.46 10^-6 radians/s. What is the average velocity of the Moon measured over the interval from t = 0 to t = 3.54 days? Find its magnitude, in m/s, and find its direction, given as an angle measured counterclockwise from...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT