The coordinates of a bird flying in the xy-plane are given by x(t) = ααt and y(t) = 3.0 m - ββt2 where αα= 2.4 m/s and ββ = 1.2 m/s2. (a) Sketch the path of the bird between t = 0 s and t = 2.0 s. (b) Calculate the velocity and acceleration vectors of the bird as functions of time. (c) Calculate the magnitude and direction of the bird’s velocity and acceleration at t = 2.0 s. (d) Sketch the velocity and acceleration vectors at t = 2.0 s. At this instant, is the bird speeding up, is it slowing down, or is its speed instantaneously not changing? Is the bird turning? If so, in what direction?

The coordinates of a bird flying in the xy-plane are given by x(t) = ααt and y(t) = 3.0 m - ββt2 where αα= 2.4 m/s and ββ = 1.2 m/s2. (a) Sketch the path of the bird between t = 0 s and t = 2.0 s. (b) Calculate the velocity and acceleration vectors of the bird as functions of time. (c) Calculate the magnitude and direction of the bird’s velocity and acceleration at t = 2.0 s. (d) Sketch the velocity and acceleration vectors at t = 2.0 s. At this instant, is the bird speeding up, is it slowing down, or is its speed instantaneously not changing? Is the bird turning? If so, in what direction?

Related questions

Q: In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and…

A: given,ax(t)=-8+32tinitial velocity…

Q: A squirrel has x- and y- coordinates (-2.0 m, 4.2 m) at time t = 0 and coordinates (4.4 m, -1.8 m)…

A: Given Coordinates at t=0 sec are (-2.0 m, 4.2 m) Coordinates at t=4 sec are (4.4 m, -1.8 m)

Q: The eguation r(t)= (3t+ 9) i + (8t - 2) j+(4t) k is the position of a particle in space at time t.…

A: Introduction: Kinematics helps to find out the velocity, acceleration of the particle at any time t…

Q: The position of a particle is: r(t) = [(4.62 m/s^2) t^2] i + (-3.38m) j + [(4.04 m/s^3) t^3] k…

Q: The velocity of a particle is given by v = {16t²i + 4t³j + (5t +2)k}m/s, where t is in seconds. If…

Q: The position vector 7 = (4.30t)î + (et + ft²) locates a particle as a function of time t. Vector is…

Q: A computer model displays the motion of a particle on a coordinate system in real time. At time t =…

A: Given At time t = 0, the particle is at the origin velocity components ux = 0 and uy = 6.0 m/s.…

Q: The position vector 7 = (3.50t)î + (et + ft²) locates a particle as a function of time t. Vector is…

Q: An object's position in a given coordinate system is described by the vector r = t^2 i - (3t + 3) j.…

A: Write the expression of the position vector, differentiate the expression with respect to time, and…

Q: +50.0 +40.0 +30.0 A +20.0 +10.0 0.5 1.0 1.5 2.0 2.5 3.0 Time (h) Position x (km)

A: The given values with suitable variables are listed below. Here, xiA denotes the initial position…

Q: A computer model displays the motion of a particle on a coordinate system in real time. At time t =…

A: Given value--- at t= 0 , speed = 0 , 6.8 m/s. acceleration ax = -5.2 m/s2. , and ay = 0 m/s2. We…

Q: A particle starts from the origin at t = 0 with a velocity of 7.8 and moves in the xy plane with a…

A: Solution:-Given thatInitial velocity (u→)=(7.8 j^) m/sacceleration (a→)=(4.4 i^+3 j^) m/s2x…

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

Q: A particle leaves the origin with an initial velocity = (7.83î) m/s and a constant acceleration à =…

Q: An aeroplane moves so that at time t seconds, its position vectors, r metres, is given by: r= (40t)i…

Q: A computer model displays the motion of a particle on a coordinate system in real time. At time t =…

A: Given Data: At t=0, the velocity component of the particle in x- direction vx=0 ms At t=0, the…

Q: A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, thex…

A: The x-component of the initial velocity and acceleration of the puck is .The y-component of the…

Q: O 2250 m

A: Refer attachment

Q: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

A: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

Q: (a) Find the velocity and position vectors as functions of time t. m/s = m (b) Find the equation of…

A: a) The particle’s velocity can be determined as, The particle’s velocity can be determined as,

Q: Initially (at time t = 0) a particle is moving vertically at 6.9 m/s and horizontally at 0 m/s. Its…

Q: a particle initially at position r=(2j+3k)m moves to r=(2i+3j-2k)m in 2s. Find the magnitude of the…

A: The initial position of the particle, The final…

Q: At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…

Q: On a spacecraft, two engines are turned on for 732 s at a moment when the velocity of the craft has…

A: Given The time up to which the engine turned on is t=732 s The x component of velocity is v0x =…

Q: The motion of a dog is observed to be given by the function 7 = (1.69 m/s²) t² - [(0.4 m/s³) t³-3.61…

A: Given: The position of the dog is given as. r→=1.69 m/s2t2i^-0.4 m/s3t3-3.61 mj^…

Q: A particle moves in the X-y plane with a constant acceleration given by à = (07 – 2.0(m/s2) ). At t…

A: Given data: Initial position of the particle r→=10mi^+0j^. Acceleration a→=0i^-2m/s2j^. Initial…

Q: A computer model displays the motion of a particle on a coordinate system in real time. At time t =…

A: Given: Initial positionxi=0 myi=0 mInitial velocity:vxi = 0 m/svyi = 7.2 m/sAcceleration:ax = −3.2…

Q: Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)j,…

A: 1. According to the above question, Position vector for a particle is r→(t) = x(t)i + y(t)j ,…

Q: A hot-air balloonist, rising vertically with a constant velocity of magnitude v = 5.00 m/s, releases…

Q: The position vector of a particle in 2D is given by r(t) = (bwt + b sin(wt)) â + (b + bcos (wt)) ŷ,…

A: Given:position vector is r→(t) = (bωt + bsinωt)x^ + (b+bcosωt)y^b and ω are constantsAsked:to find…

Q: Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ,…

Q: A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, the x…

A: Write a given values of this question. v0x=+1.4m/sax=+7.5m/s2v0y=+9.2m/say=-6.4m/s2t=0.50s

Q: A particle starts from the origin at t=0 with a velocity of 8.0 m/s and moves in the xy plane with…

A: Given Data :Initial speed u→ = (8 j^ ) msacceleration a→ = 3.5 i^+1.7 j^ ms2Let i^ denotes the…

Q: A manhwa artist draw an animation in which a dot on a computer screen has a position of r = [5.0 cm…

A: Given r→ = [5.0 cm + (3.5 m/s2) t2] i^ + (5.0 cm/s) t j^.

Q: A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, the x…

Q: The position of a particle in the xy-plane at time t is r(t) = (e¹) + (4²¹) j. Find an equation in x…

Q: At time t = 0, the position vector of a particle moving in the x-y plane is r = 4.62i m. By time t =…

Q: A particle has a constant acceleration of = (6.7 m/s²)î + (3.8 m/s2)ĵ . At time t = 0, the velocity…

Q: A computer model displays the motion of a particle on a coordinate system in real time. At time t =…

A: initial position = (0,0) m Initial velocity (0 , 6.8) m/s Acceleration (-4.8 , 0) m/s2

Q: An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°.…

A: (a) The horizontal component of the initial velocity is given as,

Question

The coordinates of a bird flying in the xy-plane are given by x(t) = ααt and y(t) = 3.0 m - ββt²where αα= 2.4 m/s and ββ = 1.2 m/s². (a) Sketch the path of the bird between t = 0 s and t = 2.0 s. (b) Calculate the velocity and acceleration vectors of the bird as functions of time. (c) Calculate the magnitude and direction of the bird’s velocity and acceleration at t = 2.0 s. (d) Sketch the velocity and acceleration vectors at t = 2.0 s. At this instant, is the bird speeding up, is it slowing down, or is its speed instantaneously not changing? Is the bird turning? If so, in what direction?

Expert Solution