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= (b) 0 = degrees the +x axis

1つ7 3. An object undergoes motion in 2 dimensions under a constant acceleration of "-2.50 m/s at an angle of 50.0° with respect to the + x direction. It also has an initial velocity of vi = 7.00 m/s at an angle of 10,0° The object begins at the coordinates (0, 0). a) What are the coordinates of the object at t = 7.00 s? Want Cx, y) at t =?4 4tzテメ0チ=XT vse this Con Vxi = \V;l cos v +ハ Ay=lalsin Ga b) What is its total velocity vector of the object as a magnitude and direction at t = 7.00 s? a) Ov= Ton

Taking north to be the positive y direction and east to be the positive x direction, a particle's position is given byr(t) = (20.2m/s)t^i+(5.15 m/s2)t2^jAt what time, in seconds, is the particle traveling exactly northeast?

A car is traveling east at 17.5 m/s when it turns due north and accelerates to 32.5 m/s, all during a time of 5.00 s. Calculate the magnitude of the car's average acceleration (in m/s2).