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    Acceleration, Displacement, and Velocity

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    1. A car rounds a 1.20 km radius circular track at 89 km/h
    Find the magnitude of the car's average acceleration after it has completed one-fourth of the circle.
    Express your answer to two significant figures and include the appropriate units.

    2. You walk 1260 m east and then 860 m south in a total time of 25 min .
    A. Compute your displacement.
    Enter the east and south components of the displacement separated by a comma.
    B. Compute your average velocity in m/s.
    Enter the east and south components of the velocity separated by a comma.

    3. A circular racetrack with 250 m radius lies in the x-y plane and is centered at the origin. A car rounds the track counterclockwise starting at the point (250 m , 0).
    A. Find the total distance traveled after one-quarter lap.
    Express your answer with the appropriate units.
    B. Find the total displacement after one-quarter lap.
    Enter the x and y components of the displacement separated by a comma.
    C. Find the total distance traveled after one-half lap.
    Express your answer with the appropriate units.
    D. Find the total displacement after one-half lap.
    Enter the x and y components of the displacement separated by a comma.
    E. Find the total distance traveled after one complete lap.
    Express your answer with the appropriate units.
    F. Find the total displacement after one complete lap.
    Enter the x and y components of the displacement separated by a comma.

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    https://brainmass.com/physics/acceleration/acceleration-displacement-velocity-522308

    Solution Preview

    Please refer to the attachment.

    1. A car rounds a 1.20 radius circular track at 89
    Find the magnitude of the car's average acceleration after it has completed one-fourth of the circle.
    Express your answer to two significant figures and include the appropriate units.

    Solution:
    y
    Vf Car's position at t = t

    R=1.2 km Vi

    Car's position at t=0
    x

    Initial and final velocity (after one fourth circle) of the car are shown in the fig.. Change in velocity = Final velocity - Initial velocity. To determine the change in velocity we draw the velocity vector diagram.

    Vi
    (Vf - Vi)

    Vf

    In the above vector diagram Vf - Vi = ΔV represents the change in the velocity in time t (time taken to complete one fourth circle).

    Magnitude of the change in velocity ΔV = √(Vi2+Vf2) = √(892+892) = 125.87 km/hr

    Actual distance travelled by the car = ¼ ...

    Solution Summary

    Acceleration, displacement and velocity is examined. The expert computes the average velocity and displacement.

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