Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i^+y(t)j^​, with x(t)=at+b and y(t)=ct2+d, where a=1.00m/s,b=1.00m,c=0.125m/s2, and d=1.00m. (a) Calculate the average velocity during the time interval from t=2.00s to  t=4.00s. (b) Determine the velocity and the speed at t=2.00s

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

​Suppose the position vector for a particle is given as a function of time by , with x(t) = at + b and y(t) =ct2 + d, where a = 1.00 m/s, b = 1.00 m, c= 0.125 m/s2, and d = 1.00 m. (a) Calculate the average velocity during the time interval from t = 1.00 s to t = 4.00 s. (b) Determine the velocity and the speed at t = 3.00 s. (c) Determine the acceleration at t = 3.00 s.

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