A skateboarder travels on a horizontal surface with an initial velocity of 3.8 m/s toward the south and a constant acceleration of 2.4 m/s2 toward the east. Let the x-direction be eastward and the y-direction be northward and let the skateboarder be at the origin at t=0. What is her x position at t=0.80s?

A baseball is hit at a height h = 1.00 m and caught at the same height.  It travels along side a wall moving up past the top of the wall 1.00 s after it is hit and then down past the top of the wall 4.00 s later at distance D = 62 m further along the wall.  Use g = 9.8 m/s/s.     What is the magnitude of the initial velocity?

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 = +1.4 m/s and a, = +7.5 m/s2. The y components of the puck's initial velocity and acceleration are Voy =+9.2 m/s and a, = -6.4 m/s?. Find (a) the magnitude v and (b) the direction 8 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

Needs Complete typed solution with 100 % accuracy.

Suppose a soccer player kicks the ball from a distance 26 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 36° above the horizontal. m/s

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

A roofer tosses a shingle off a 240.1 m high roof, giving it an initial horizontal velocity of 10 m/s. How far from the building does the shingle land? What is the acceleration of the shingle as it leaves the roof at 2m/s^2?

Use the given acceleration function and initial conditions to find the velocity vector v(t), and position vector r(t). Then find the position at time t = 3. a(t) = 8i + 4k v(0) = 5j, r(0) = 0 v(t) = r(t) = r(3) =

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

Chinook salmon can cover more distance in less time by periodically making jumps out of the water. Suppose a salmon swimming in still water jumps out of the water with velocity 6.03 m/s at 40.6° above the horizontal, re-enters the water a distance L upstream, and then swims the same distance L underwater in a straight, horizontal line with velocity 2.92 m/s before jumping out again. Where L=3.67 m; t1= 0.801 sec this is a time when fish are over the water; t2= 1.256 sec; Ttotal =2.057 sec; the average horizontal velocity is 3.57 m/s. Consider the interval of time necessary to travel 2L. How is this reduced by the combination of jumping and swimming compared with just swimming at the constant speed of 2.92 m/s? Express the reduction as a percentage.