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2D Motion Worksheet Packet
• Answers
1. Find the westward component of a resultant
vector 85.42 unit, 23º W of N.
1. Find the westward component of a resultant
vector 85.42 unit, 23º W of N.
2. What is the east component of a vector
12.3 m 10.0 º N of E?
2. What is the east component of a vector
12.3 m 10.0 º N of E?
3. Calculate the N component of a resultant
32.5 m/s, 35.0 º E of N.
3. Calculate the N component of a resultant
32.5 m/s, 35.0 º E of N.
4. You move 26m at an angle of 40.0º W of S. (a) How far
south of your starting point are you? (b) How far
west are you?
4. You move 26m at an angle of 40.0º W of S. (a) How far
south of your starting point are you? (b) How far
west are you?
5. Find the resultant of 55.4 units, W and
69.2 units S?
5. Find the resultant of 55.4 units, W and
69.2 units S?
6. What is the resultant of 1,230
m/s, S and 1,450 m/s, N?
6. What is the resultant of 1,230
m/s, S and 1,450 m/s, N?
7. If you walk 6.00 m, N and 5.00 m E, what
is your final location from your start?
(magnitude, angle, and direction)
7. If you walk 6.00 m, N and 5.00 m E, what
is your final location from your start?
(magnitude, angle, and direction)
8. Combine 27 mi/h, E and 73 mi/h,
N.
8. Combine 27 mi/h, E and 73 mi/h,
N.
9. A river flows at a speed of 12 m/s from north to south. A
powerboat can move at a constant maximum speed of
23 m/s in still water.
a.
b.
c.
What is the maximum velocity of the boat upstream (against
the current)?
What is the maximum velocity of the boat downstream?
If the boat were headed east across the river at its maximum
speed, what would the resultant velocity of the boat be?
9. A river flows at a speed of 12 m/s from north to south. A
powerboat can move at a constant maximum speed of
23 m/s in still water.
a.
b.
c.
What is the maximum velocity of the boat upstream (against
the current)?
What is the maximum velocity of the boat downstream?
If the boat were headed east across the river at its maximum
speed, what would the resultant velocity of the boat be?
9. A river flows at a speed of 12 m/s from north to south. A
powerboat can move at a constant maximum speed of
23 m/s in still water.
a.
b.
c.
What is the maximum velocity of the boat upstream (against
the current)?
What is the maximum velocity of the boat downstream?
If the boat were headed east across the river at its maximum
speed, what would the resultant velocity of the boat be?
10. A plane is traveling toward the east with a velocity of
120 km/h. It encounters a wind blowing toward the
east at 0.20 km/min. What is the velocity of the
plane in km/h?
10. A plane is traveling toward the east with a velocity of
120 km/h. It encounters a wind blowing toward the
east at 0.20 km/min. What is the velocity of the
plane in km/h?
11. A girl walks 26 m at an angle of 39º W of
S.
a. How far west of her starting point is she?
b. How far south of her starting point is she?
11. A girl walks 26 m at an angle of 39º W of
S.
a. How far west of her starting point is she?
b. How far south of her starting point is she?
12. A pitcher can throw a ball at a velocity of 125
km/h straight ahead. If he throws the ball
straight when a cross-wind is blowing at 28
km/h to the left,
a. What will the magnitude of the ball’s resultant
velocity?
b. The direction of the ball will be off ________ º to the
(left, right)
12. A pitcher can throw a ball at a velocity of 125
km/h straight ahead. If he throws the ball
straight when a cross-wind is blowing at 28
km/h to the left,
a. What will the magnitude of the ball’s resultant
velocity?
b. The direction of the ball will be off ________ º to the
(left, right)
13. A plane heads due north, but because of a
wind blowing to the west, the plane flies at a
resultant velocity of 620 mi/h, 22º W of N.
What was the velocity of the wind?
13. A plane heads due north, but because of a
wind blowing to the west, the plane flies at a
resultant velocity of 620 mi/h, 22º W of N.
What was the velocity of the wind?
Projectile Motion Problems
1. A ball is kicked 8.0 m/s from a cliff 80m
high. How far from the base of the cliff will
the stone strike the ground?
1. A ball is kicked 8.0 m/s from a cliff 80m
high. How far from the base of the cliff will
the stone strike the ground?
2. If you launch a ball, moving horizontally at
a speed of 1.12 m/s from a table that is 0.77
m tall, how far out from the table will the
launched ball land?
2. If you launch a ball, moving horizontally at
a speed of 1.12 m/s from a table that is 0.77
m tall, how far out from the table will the
launched ball land?
3. A ball was kicked horizontally off a cliff at
15 m/s, how high was the cliff if the ball
landed 83 m from the base of the cliff?
3. A ball was kicked horizontally off a cliff at
15 m/s, how high was the cliff if the ball
landed 83 m from the base of the cliff?
4. Josh throws a ball horizontally from the
height of his head at 30 m/s. The ball lands
18 meters away, how tall was Josh.
4. Josh throws a ball horizontally from the
height of his head at 30 m/s. The ball lands
18 meters away, how tall was Josh.
5. A baseball rolls off a 1.20 m high desk
and strikes the floor 0.50 m away from the
base of the desk. How fast was it rolling?
5. A baseball rolls off a 1.20 m high desk
and strikes the floor 0.50 m away from the
base of the desk. How fast was it rolling?
6. A pelican flying drops a fish from a height of 8.1 m.
The fish travels 9.3 m horizontally before it hits the
ground. What was the pelican’s speed?
6. A pelican flying drops a fish from a height of 8.1 m.
The fish travels 9.3 m horizontally before it hits the
ground. What was the pelican’s speed?
7. If you launch a ball horizontally, moving at
a speed of 2.00 m/s from a table that is 1.5
m tall, how far from the base would it land?
7. If you launch a ball horizontally, moving at
a speed of 2.00 m/s from a table that is 1.5
m tall, how far from the base would it land?
When Vo is not 0
8. A football is kicked from ground level at a speed of 20
m/s at an angle of 42° above the ground. (resolve for the X
and Y components of the vector)
a.How long does it take to hit the ground?
b.How far does it land from where it was kicked?
When Vo is not 0
8. A football is kicked from ground level at a speed of 20
m/s at an angle of 42° above the ground. (resolve for the X
and Y components of the vector)
a.How long does it take to hit the ground?
b.How far does it land from where it was kicked?