84.1 The position, velocity and acceleration vectors in two dimensions Exercise: The position of a small bumper car in an amusement park ride is described as a function of time by the coordinates x=0.2t2+5.0t+0.5 (SD) y=-1.0r+10.0t+20(S1) Find (a) the position vector at t1.0 s and t3.0 s (b) the displacement vector between these tim e (c)average velocity over the period from 1.0 s to 3.0s, and the velocity at t=3.0 s. (d the magnitude and direction of the acceleration at tl0s and t3.0 s 84.1 The position, velocity, and acceleration vectors in two dimensions 5. Perpendicular motions are independent of each other We can analyze the motion along each coordinate axis separately Experimental result7 Exercise: The position of a small bumper car in an amusement park ride is described as a function of time by the coordinates 1.0 10.0 2.0 (SI) 0.2 5.0 0.5 (SI) 2 2 = − + + = + + y t t x t t Find (a) the position vector at t=1.0 s and t=3.0 s. (b) the displacement vector between these time. (c) average velocity over the period from 1.0 s to 3.0 s, and the velocity at t=3.0 s. (d) the magnitude and direction of the acceleration at t=1.0 s and t=3.0 s. §4.1 The position, velocity, and acceleration vectors in two dimensions 5. Perpendicular motions are independent of each other §4.1 The position, velocity, and acceleration vectors in two dimensions We can analyze the motion along each coordinate axis separately. Experimental result