An unsuspecting bird is coasting along in an easterly direction at 1.00 mph when a strong wind from the south imparts a constant acceleration of 0.500 m/s2. If the wind's acceleration lasts for 2.50 s, find the magnitude r and direction 0 (measured counterclockwise from the easterly direction) of the bird's displacement over this time interval. Assume that the bird is originally travelling in the +x direction and that there are 1609 m in 1 mi. r = Now, assume the same bird is moving along again at 1.00 mph in an easterly direction, but this time, the acceleration given by the wind is at a o = 30.0° angle to the original direction of motion, measured counterclockwise from the easterly direction. If the magnitude of the acceleration is 0.600 m/s2, find the displacement vector 7 and the angle of the displacement 01. Enter the components of the vector, r. and r... and the angle. Assume the time interval is still 2.50 s.

A computer model displays the motion of a particle on a coordinate system in real time. At time t = 0, the particle is at the origin of the coordinate system and has velocity components vx = 0 and vy = 7.2 m/s. The particle has acceleration components of ax = −3.2 m/s2 and ay = 0.   (a) What are the x and y positions of the particle, in meters, at t = 4.5 s? x = ? m y = ? m   (b) What are velocity components of the particle, in m/s, at t = 4.5 s? vx = ? m/s vy = ? m/s   (c) How does the speed of the particle change from t = 0 to t = 4.5 s? a) The particle's speed remains constant. b) The particle's speed increases and then decreases with time.     c) The particle's speed decreases with time. d) The particle's speed increases with time.

A wild horse starts from rest and runs in a straight line 29° north of west. After 33 s of running in this direction, the horse has a speed of 15 m/s.(a) What is the magnitude of the horse's average acceleration? m/s2(b) Assuming that north and east are the positive directions, find the component of the horse's acceleration that points along the north-south line. m/s2(c) Find the component of the horse's acceleration that points along the east-west line. m/s2

Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)ĵ, with x(t) : c = 0.120 m/s², and d = 1.02 m. (a) Calculate the average velocity during the time interval from t = 2.10 s to t = 3.85 s. V = m/s (b) Determine the velocity at t = 2.10 s. m/s = at + b and y(t) = ct² + d, where a = 1.80 m/s, b = Determine the speed at t = 2.10 s. m/s 1.20 m,