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Kinematics
The study of motion without considering the forces causing it.
Two-dimensional kinematics
Deals with motion in a plane, considering both horizontal and vertical components.
Displacement
The change in position of an object.
Δr=r−r0
Equation for displacement
Velocity
The rate of change of displacement.
Acceleration
The rate of change of velocity.
v=ΔtΔr
Definition for average velocity
v=Δt→0limΔtΔr
Equation for instantaneous velocity
a=ΔtΔv
Definition of average acceleration
a=Δt→0limΔtΔv
Equation for instantaneous accelerations
Projectile motion
The motion of an object launched into the air, moving under the influence of gravity.
Equations of Motion
Mathematical equations used to describe the motion of objects.
Divided into x and y components
Kinematic equations in two dimensions
Range
The horizontal distance covered by a projectile.
Maximum height
The highest point reached by a projectile.
-9.80 m/s²
ay
0
ax
Projectile motion
The motion of an object that is launched into the air and moves along a curved path under the influence of gravity.
Relative velocity
The velocity of an object or observer with respect to another object or observer.
vAC=vAB+vBC
Equation for relative velocity