PHYSICS VECTOR WORKSHEET
1.
Use graph paper to find the resultant vector from the combinations listed:
C
A
B
D
G
E
F
a) A+E ; b) n/a; c) B+C+G; d) n/a; e) E+D+G; f) n/a; g) D-F
2.
Use graph paper to determine the magnitude of displacement of a car that travels:
a) 10 km due east and then 12 km at 450 north of west.
b) 10 km due south, 2 km due west, then 5 km due east.
c) 8 km due north, 4 km due east, then 6 km at 300 south of west.
3.
Calculate the displacement (magnitude and direction) of a car that travels:
a) 3.0 km due north, then 4.0 km due east.
b) 12.5 km due south, then 6.8 km due west.
c) 10 km due south, 2 km due west, then 5 km due east.
4.
N/A
5.
An aircraft heading due west at 48 m/s encounters a wind blowing towards the south at 27
m/s. What is the resultant velocity (speed and direction) of the aircraft?
6.
A boat is headed directly across a river at 7.8 m/s due north, while the river’s current travels
at 3.2 m/s due east. All speeds are relative to a point on shore.
a) What is the velocity of the boat (speed and direction) relative to shore?
b) If the river is 820 m wide, how far downstream does the boat end up, once across?
7.
N/A
8.
An jet aircraft is travelling 310 m/s at 35 south of east. What is the south component of its
velocity?
9.
An arrow is shot at 35 m/s into the air at an angle of 400 to the horizontal. Determine the vertical
and horizontal components of its speed.
10.
Three physics students are fighting over a graphing calculator. Student A pulls on the
calculator with a force of 15 N north, while student B pulls with a 35 N force east. What force,
and in what direction, must student C apply to the calculator if it is to remain stationary (i.e.
the net force = 0)?
1. a) 5 right, 3 up b) 13 left, 3 up c) 2 left, 1 up d) 1 right, 5 up e) 7 left, 1 up f) 3 right, 9 up g) 1 left, 5 down 2. a) 8.6
km b) 10.4 km c) 3.2 km 3. a) 5.0 km at 53 E of N b) 14.2 km at 29 W of S c) 10.4 km at 17 E of S 4. 47.2 N at 32 S
of W 5. 55 m/s at 29 S of W 6. a) 8.4 m/s at 22 E of N 7. b) 42 c) 1.6 m/s
8. a) 77 N, 36 N b) 77 N to the left 9. 178 m/s 10. 22 m/s, 27 m/s 11. 38 N at 23 S of W 12. 636 N