Vectors
What must every vector have?
Magnitude, units, direction
Rosa Boat is paddling upstream at 1.45 m/s relative to the water in a river which is flowing at 0.35 m/s
relative to the banks of the river. What is the resultant velocity of Rosa's boat (relative to the banks)?
1.10 m/s
an airplane flies due north at 155.0 km/hr with respect to the air. There is a wind blowing at 55.1 km/hr to the
east relative to the ground.What is the speed of the plane relative to the ground?
164.5 km/hr
A ball rolls off a desk at a speed of 4.0 m/s and lands 0.40 seconds later. How far from the base does the ball land?
1.6 meters
What is the total displacement of an object that moves 20 meters west and then 10 meters east?
10 meters west
Delilah is a passenger on the city bus. The bus is moving through heavy traffic at a speed of 8.62 m/s
relative to the street. Delilah stands up and walks towards the back of the bus at 1.88 m/s relative to the
bus. What is Delilah's speed relative to the street?
6.74 m/s
A river flows due east at 2.4 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 9.2 m/s due north relative to water.What is the boats speed relative to the shore?
9.52m/s north east
A ball rolls off a desk at a speed of 3.0 m/s and lands 0.40 seconds later. How high is the table?
.24 meters high
What is the total displacement of an object that moves 10 meters north and then 20 meters west?
22.36 meters Northwest
Sandhill Crane is migrating north in the presence of a strong headwind. The crane flies at 19.4 mi/hr with
respect to the air. The wind speed is 8.2 mi/hr. How long will it take the crance to fly 10 miles relative to the ground?
.89 hours
A river flows due east at 2.4 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 9.2 m/s due north relative to water. how long will it take the boat to travel across the water?
18.15 seconds
A slingshot is used to launch a stone horizontally from the top of a 20.0 meter cliff. The stone lands
36.0 meters away. How long is the stone in the air?
2.019 seconds
Someone walks 35 meters at an angle of 30 degrees above the horizontal, what is the x and y component of their displacement?
y comp: 17.5 M
x comp: 30.31
Delilah is a passenger on a moving bus that is moving of 8.62 m/s relative to the street. Delilah stands up and walks towards the back of the bus at 1.88 m/s relative to the bus. Delilah’s friend walks past her on the street heading in the same direction as the bus at a rate of 5 m/s. How fast is Delilah moving relative to her friend
1.74 m/s
A river flows due east at 2.4 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 9.2 m/s due north relative to water. How far downstream will the boat end up?
43.6 m
A slingshot is used to launch a stone horizontally from the top of a 20.0 meter cliff. The stone lands
36.0 meters away. What is the horizontal velocity of the stone?
17.8 m/s
Someone walks 20 meters east and then 15 meters north, what angle is this person's displacement at?
36.85 degrees north east
Rosa Boat is paddling downsteam at 1.45 m/s relative to the water in a river which is flowing at 0.35 m/s
relative to the banks of the river. How long will it take rosa to travel 30 meters?
16.67 seconds
A boat is trying to cross a river that is flowing east to west at a rate of 4.6 m/s. There is a waterfall downstream 38 meters. If the river is 128 meters wide how fast does the boat have to paddle to safely cross the river?
15.5 m/s
A skier leaves the horizontal end of a ramp with a velocity of 20.0 m/s [E] and lands 75.0 m from the
base of the ramp. How high is the end of the ramp from the ground?
68.9 meters high