A jetliner, traveling northward, is landing with a speed of 57.5 m/s. Once the jet touches down, it has 821 m of runway in which to reduce its speed to 13.8 m/s. Compute the average acceleration (magnitude and direction) of the plane during landing (take the direction of the plane's motion as positive).

A motorcycle starts at t = 0 from rest at x = 0 (the origin) and moves along a straight path (x-axis) with an acceleration of +2.8 m/s2. After travelling for 140 m, the rider slows down the motorcycle at 1.2 m/s2 (still going forward along the path) until its velocity is 16 m/s. At that point, he sees/hits a tree.(a)    Find the velocity and the time when the motorcycle reaches x = 140 m.(b)    How much time and how far does it take the rider to slow down the motorcycle from its velocity at x = 140 m to its final velocity of 16 m/s?(c)    Hence, find the distance between the origin and the tree.(d)    Sketch a well-labelled velocity-time graph from t = 0 to the time that the rider reaches the tree. Point out a relation between the graph and the answer in part (c)

An Australian emu is running due north in a straight line at a speed of 13.0 m/s and slows down to a speed of 9.70 m/s in 2.30 s. (a) What is the magnitude and direction of the bird’s acceleration? (b) Assuming that the acceleration remains the same, what is the bird’s velocity after an additional 1.30 s has elapsed?

A mountain lion jumps to a height of 2.65 m when leaving the ground at an angle of 42.9°. What is its initial speed (in m/s) as it leaves the ground?

Taking north to be the positive y direction and east to be the positive x direction, particle’s position is given by r(t) = [(45.1 m/s)t]i + [(7.37 m)t2]j.At what time, in seconds, is the particle traveling directly northeast?

A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are vox = +2.2 m/s and ax = +7.2 m/s². The y components of the puck's initial velocity and acceleration are Voy = +9.7 m/s and a, = -1.7 m/s?. Find (a) the magnitude v and (b) the direction 0 of the puck's velocity at a time of t = 0.50 s. Specify %3D the direction relative to the +x axis. (a) V = (b) 0 = degrees the +x axis

An airplane has a velocity ofv=(5m/s)i+(4m/s)jatt1=3s. For the time interval from t1=3s to t2=13s the average acceleration is a=(.5m/s2)i+(.2m/s2)j. At 13s find the magnitude and direction of the velocity of the airplane.

A person walks 2.80 km north and then 2.00 km east, all in 2.20 hours.   (a) What is the magnitude (in km) and direction (in degrees north of east) of her displacement during the given time? (b) What is the magnitude (in km/h) and direction (in degrees north of east) of her average velocity during the given time?(c) What was her average speed (in km/h) during the same time interval?

A jetliner, traveling northward, is landing with a speed of 60.4 m/s. Once the jet touches down, it has 732 m of runway in which to reduce its speed to 6.88 m/s. Compute the average acceleration (magnitude and direction) of the plane during landing (take the direction of the plane's motion as positive).

A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, the x components of the puck's initial velocity and acceleration are vox = +7.2 m/s and ax = +1.1 m/s². They components of the puck's initial velocity and acceleration are Voy=+3.6 m/s and ay = -1.5 m/s². Find (a) the magnitude v and (b) the direction of the puck's velocity at a time of t = 0.50 s. Specify the direction relative to the +x axis. (a) v = i (b) 0= degrees the +x axis