A puck is moving on an air hockey table. Relative to an x, y coordinate system a

Question

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 v0x = +4.7 m/s and ax = +1.3 m/s2. The y components of the puck's initial velocity and acceleration are v0y = +8.7 m/s and ay = -2.8 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. Please Show Your Work ... I know the correct answers already .. I just need to know how to get there

Explanation / Answer

vel at time t=0 U= (4.7 i + 8.7 j) m/s acc at time t=0 A= (1.3 i -2.8 j) m/s2 at time t=0.5 sec Vx =Ux+Axt =5.35 m/s Vy= Uy+ Ayt=7.3 m/s magnitude=sqrt( Vx^2 + Vy^2)=9.05 m/s direction angle=tan inverse(Vy/Vx)= 53.7 deg from x axis

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