Differentiating Vectors (Leaving Cert Applied Maths): Flashcards
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What is vector differentiation used for in physics?
What is vector differentiation used for in physics?
Finding how vectors change with respect to time
Key principle of vector differentiation
Key principle of vector differentiation
Differentiate each component separately
Displacement vector differentiates to
Displacement vector differentiates to
Velocity vector
Velocity vector differentiates to
Velocity vector differentiates to
Acceleration vector
Speed in relation to velocity vector
Speed in relation to velocity vector
Magnitude of the velocity vector
Magnitude formula for vector
Magnitude formula for vector
Difference between speed and velocity
Difference between speed and velocity
Speed is magnitude only; velocity includes direction
4 steps of vector differentiation
4 steps of vector differentiation
Identify, Differentiate i, Differentiate j, Combine
When to substitute values in differentiation
When to substitute values in differentiation
After differentiating, not before
Units for displacement
Units for displacement
m (metres)
Units for velocity
Units for velocity
m/s
Units for acceleration
Units for acceleration
m/s²
Sign of speed
Sign of speed
Always positive (it's a magnitude)