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

Question

A puck is moving on an air hockey table. Relative to an x, y, coordinate system at time t = 0 s, the x component of the puck's initial velocity and acceleration are v0x = +1.0 m/s and ax = +2.3 m/s2. The y components of the puck's initial velocity and acceleration are v0y = +2.0 m/s and ay = -1.8 m/s2.


Find the magnitude and direction of the puck's velocity at a time t = 0.70 s. Specify the direction relative to the +x axis. Be sure that your calculations are consistent with your answers above.
magnitude m/s
direction ° the +x axis

Explanation / Answer

Vx= Vox+ ax *t= 1 + 2.3 t Vy=Voy+ay*t=2-1.8t at t=.7, Vx= 1+2.3*.7=2.61 m/s Vy= 2-1.8*.7=.74 m/s V= 2.61 i +.74 j magnitude =sqrt(2.61^2+.74^2)=2.71 m/s direction with x-axis = tan^-1(.74/2.61)=15.82 degrees

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