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Kinematics in Two or Three Dimensions, Low Jing Ning A20SC0126 - Coggle…
Kinematics in Two or Three Dimensions
Vectors and Scalars
Vector
has magnitude and direction
Eg: Displacement, velocity,force
Scalar
magnitude only
Eg: Mass,Time, Temperature
Addition of vectors
one dimension
simple addition and subtraction
two dimension
Right angle
Pythagorean Theorem
Not at right angle
tail-to-tip method
Subtraction of Vectors and Multiplication of Vector by scalar
Negative of vector has same magnitude but different direction
Vector is multiplied by a scalar c. cV has the same direction
Adding Vectors by Components
Perpendicular components found using trigonometric function
One-dimensional components
-added arithmetically
Unit Vectors
Scalar product : a · b = |a| × |b| × cos(θ)
Vector product : |AxB| = A B sinθ.
Vector Kinematics
Projectile Motion
Horizontal
-Acceleration is zero
-Velocity remains constant at any point
Vertical
Acceleration(downwards)=
Relative velocity
Vbs =Vbw + Vws
Vbs is boat'svelocity
Vbw is boat's velocity(in water frame)
Vws is water's velocity(in shore frame)
Direction(angle)find using trigonometric function
Pythagorean theorem used to find the velocity
Low Jing Ning A20SC0126
