Welcome back to Physics 211. Today’s agenda: Review Vectors Vector components. ConcepTest 8. You are throwing a ball…. Acceleration of ball rolling on incline. Acceleration is not zero at top. velocity. time. Vectors. are used to denote quantities that have magnitude and direction
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You are throwing a ball…
To add vector B to vector A:
Draw vector A.
Draw vector B with its tail starting from the tip of A.
The sum vector A+B is the vector drawn from the tail of vector A to the tip of vector B.
x 2.0 =
x –1 =
Two unknown vectors A and B are added.
The magnitude of the sum vector “A + B” (i.e., the quantity |A + B|)
1. is at least as great as |A| (i.e., the magnitude of A).
2. is at most as great as |A| + |B| (i.e., the magnitudes of A and B added).
3. must be equal to |A| + |B|.
4. can be greater than |A| + |B|.
Component of a vector
“How much a vector acts along some arbitrary direction”
Projection onto one of the coordinate axes (x, y, z)
i unit vector in x direction
j unit vector in y direction
ax,ay components of vector A
Projection of A along coordinate axes
A bird is flying along a straight line in a direction somewhere East of North. After the bird has flown a distance of 2.5 miles, it is 2 miles North of where it started.
How far to the East is it from its starting point?
1. 0 miles
2. 0.5 miles
3. 1.0 mile
4. 1.5 miles
component of position vector
along x direction is the x coordinate!
s – vector position
Describing motion with vectors somewhere East of North. After the bird has flown a distance of 2.5 miles, it is 2 miles North of where it started.
s,Ds = sfinal - sinitial
vave= ––––,vinst= lim ––––,
Dv = vfinal - vinitial
Can any component of a vector ever be greater than the magnitude of the vector?
3. Not sure
If one component of a vector is not zero, can the magnitude of the vector be zero?
3. Not sure