Chapter 3: Two Dimensional Kinematics

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20 Terms

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Kinematics
The study of motion without considering the forces causing it.
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Two-dimensional kinematics
Deals with motion in a plane, considering both horizontal and vertical components.
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Displacement
The change in position of an object.
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\Delta r=r-r_{0}

Equation for displacement

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Velocity
The rate of change of displacement.
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Acceleration
The rate of change of velocity.
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\overrightarrow{\overline{v}}=\dfrac{\Delta \overrightarrow{r}}{\Delta t}

Definition for average velocity

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\overrightarrow{v}=\lim _{\Delta t\rightarrow 0}\dfrac{\Delta \overrightarrow{r}}{\Delta t}

Equation for instantaneous velocity

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\overline{\overrightarrow{a}}=\dfrac{\Delta \overrightarrow{v}}{\Delta t}

Definition of average acceleration

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\overrightarrow{a}=\lim _{\Delta t\rightarrow 0}\dfrac{\Delta \overrightarrow{v}}{\Delta t}

Equation for instantaneous accelerations

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Projectile motion
The motion of an object launched into the air, moving under the influence of gravity.
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Equations of Motion
Mathematical equations used to describe the motion of objects.
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Divided into x and y components

Kinematic equations in two dimensions

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Range
The horizontal distance covered by a projectile.
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Maximum height
The highest point reached by a projectile.
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-9.80 m/s²

ay

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0

ax

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Projectile motion

The motion of an object that is launched into the air and moves along a curved path under the influence of gravity.

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Relative velocity
The velocity of an object or observer with respect to another object or observer.
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\overrightarrow{v}_{AC}=\overrightarrow{v}_{AB}+\overrightarrow{v}_{BC}

Equation for relative velocity