A particle starting from rest revolves with uniformly increasing speed in a clockwise circle in the ry plane The center of the circle is at the origin of an zy coordinate system Att=0 the particle is at x=0.0,y=2.9mAtt=1.0s it has made one quarter of a revolution and is at x=y_(0),y=0.0 ) Part A Part B Part C Determine the average acceleration vector during this interval. Express your answer using two significant figures. Enter the z and y components of the acceleration separated by a comma. square

To determine the average acceleration vector, we need to find the change in velocity over the given time interval and divide it by the time taken.<br /><br />Given:<br />Initial position: (x0, y0) = (0.0, 2.9) m<br />Final position: (x1, y1) = (2.9, 0.0) m<br />Time interval: Δt = 1.0 s<br /><br />Step 1: Calculate the initial and final velocities.<br />Since the particle starts from rest, the initial velocity is zero.<br />The final velocity can be calculated using the formula for circular motion: v = Δθ / Δt, where Δθ is the change in angle and Δt is the time taken.<br />In this case, the particle makes one-quarter of a revolution, which corresponds to a change in angle of 90 degrees or π/2 radians.<br />Therefore, the final velocity is v = (π/2) / 1.0 = π/2 rad/s.<br /><br />Step 2: Calculate the change in velocity.<br />The change in velocity is given by Δv = v - u, where u is the initial velocity and v is the final velocity.<br />In this case, the initial velocity is zero, so the change in velocity is Δv = π/2 - 0 = π/2 m/s.<br /><br />Step 3: Calculate the average acceleration.<br />The average acceleration is given by a = Δv / Δt, where Δv is the change in velocity and Δt is the time taken.<br />In this case, the time interval is 1.0 s, so the average acceleration is a = (π/2) / 1.0 = π/2 m/s².<br /><br />Step 4: Express the answer using two significant figures.<br />The average acceleration vector in the z and y components is:<br />z-component: 0 m/s²<br />y-component: 1.6 m/s²<br /><br />Therefore, the average acceleration vector during this interval is 0, 1.6 m/s².