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### 304-H: Kinematic Equations 6: Turn Around Problems

• Topic Cluster: Kinematics
• Topic: Forward and Backwards Kinematics Quantitative
• Objective: Solve all kinematic equations in two-directions; use relevant quantities to identify what direction an object is moving and whether is is speeding up or slowing down.
• Content:
• Level: 2

#### Questions You Might Ask in Turnaround Problems

##### Did the Object turn around?
• The object turned around if its final velocity is not in the same direction as its initial velocity, OR
• The object turned around if its displacement is not in the same direction sa its initial velocity. (Which will occur in the subset of the above cases)
##### How far did it go before turning around?
• The object turns around when velocity = 0, so if you plug in final_velocity = 0, then you can find the time and displacement before turning around.
##### Did the object reach the point where it started? How long did it take to reach there? How fast was it moving when it reached there?
• An object reaches the point where it started at displacement = 0.
• To find the time when it started, plug in displacement = 0 and find the time.
• If acceleration is constant, it always takes twice as much time tot run around as to return to its initial point.
• If acceleartion is constant, then when it returns to its initial point, its speed will be ideitncal to its initial speed but it will be moving int the opposite direction.
##### When was the object speeding up? When was it slowing down?
• The object is slowing down whenever velcoity and acceleration re in opposite directions. In problems where an object turns around, this occurs BEFORE the object turns around.
• The object is speeding up whenever velcoity and acceleration re in the same directions. In problems where an object turns around, this occurs AFTER the object turns around.