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Tail-to-tail (invert circle)
OR
Parallelogram method |
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| Draw negative vector, then DO addition. |
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| Multiplication by a Scalar |
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If parallel, just add magnitudes.
If perpendicular, A+B=sqrt(A2+B2);
If Angle, break A OR B to components, then add component parallel to other vector to other vector. Then add remaining component to resultant vector. |
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AxB=ABsinTheta
AxB is perp. to both A and B.
Direction of AxB by RIGHT HAND RULE.
(Curl fingers from A to B. $(thumb)); |
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| Direction of Vector at xy-coordinate system |
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Ax=A.cosTheta
Ay=A.sinTheta |
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| instantaneous velocity or speed |
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assume DeltaT is very small
ASKED BY DEFAULT |
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Can determine position at t.
Can determine velocity by slope: DeltaY/DeltaT |
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| POSITION VS TIME CURVED GRAPH |
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No worries. No calculations.
Velocity at top of hills and bottoms of valleys is 0. Velocity is greater at steeper slopes. Downward slopes are negative and so velocity in them is a big negative number. Speed is huge though. |
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Can determine velocity at t.
Can determine direction of movement.
Can determine acceleration : SLOPE
IT IS POSSIBLE FOR VELOCITY TO BE AT 0 WHILE ACCELERATION IS NOT. |
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The displacement in a given time interval is equal to the area under the graph during that same time interval.
If area is above axis, positive, opposite is true.
AREAS ARE CHANGE, NOT AVERAGE OR FINAL. |
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x=x0+1/2(v+v0)t
x=x0+v0t+at.pow(2)
x=x0+vt-at.pow(2)
v.pow(2)=v0.pow(2)+2a(x-x0)
v=v0+at |
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| When they say starts from rest |
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| When they say comes to rest |
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| When they say Moves at a constant velocity |
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| Two dimensional movement ? |
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| Break V down to Vx and Vy |
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| V= ? [two dimensional movement] |
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Delta KE= - Delta U
E is a constant
Only applies to CLOSED SYSTEMS (no friction) |
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| Delta Work OR Delta Energy / Delta time |
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