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16 Cards in this Set
- Front
- Back
vector diagram
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- vectors are represented by a line with an arrow and add up TIP TO TAIL
- magnitude and direction are considered - the order in which they are added is unimportant |
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collinear vectors
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vectors in the same dimension
ex. flying a plane north at 100km/h with a 25km/h wind directly south |
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methods of adding vectors
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cartesian method; using degrees and the cartesian plane
navigator method; using directions and degrees off of a specific N/E/S/W *always draw out your method before answering a question |
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graphical analysis
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- where vectors are represented in a diagram with a line; line represents magnitude, arrow represents direction
- vectors are measured out and drawn to scale - a scale must be drawn as well! |
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how to graphically analyze
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1. select scale and indicate
2. draw vectors to scale using ruler and protractor, drawing TIP to TAIL 3. draw resultant and measure length & direction - answer |
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resultant
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line going from starting point to finish point on a vector diagram
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non-collinear vectors
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vectors that are not along the same plane; they must be resolved before their quantities can be added
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algebraic analysis
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method of solving vector problems using trigonometry - more accurate!
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how to algebraically analyze
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1. draw diagram with vectors originating from centre
2. resolve all vectors (trig) 3. add all x-components and y-components of all vectors 4. draw vector diagram and find resultant |
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trajectory
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path of a projectile
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range
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horizontal distance travelled by the projectile
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horizontal events vs vertical events
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* remember; horizontal and vertical events of a projectile launch are completely separate!
make a table to sort out vert/hor information ex. without gravity, an object in motion will continue in motion with the same speed and in the same direction |
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horizontally...
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- projectile travel at constant velocity
-therefore, use constant velocity formulate for calculations involving horizontal components of motion |
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vertically...
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- projectiles are accelerating downwards (due to gravity)
- use acceleration formulas for calculations involving vertical components |
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projectiles launched at an angle
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1. draw diagram
2. resolve vectors 3. add separate vectors to table and solve from there |
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relative motion
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motion measured with respect to an observer
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