PQ: Vectors and Components Flashcards
A hikers displacement is 15km [40 degrees E of N]. What is the north component of displacement.
11 km [N]
A cyclist’s velocity is 10m/s [245 degrees]. Determine the x and y components of her velocity.
vx= -4.2m/s vy= -9.1 m/s
A snowmobile travels 65km [37 degrees E of S]. How far east does it travel?
39km [E]
Find the displacement of a farmer who walked 80.0m [0 degrees] and then 60.0m [335 degrees].
137m [349 degrees]
Find the displacement of a soccer player who runs 15m [15 degrees N of E] and then 13 m [5 degrees W of N].
21m [52 degrees N of E]
While tracking a polar bear, a wildlife biologist travels 300m [S] and then 550m [75 degrees N of E]. What is her displacement?
272m [58 degrees N of E]
A student has created a short computer program that calculates components of vectors drawn with a computer mouse. To demonstrate his program, he drags the mouse to create a vector at 55cm [30 degrees W of S]. What are the components of the vector?
dy = -48 dx = -28
Determine the distance travelled and the displacement for each of the following:
a) Blading through Fish Creek Park in Chicago takes you 5.0km [W], 3.0 [N], 2.0km [E] and 1.5 km [S]
b) A swimmer travels in a northerly direction across a 500m wide lake. Once across, the swimmer notices that she is 150m east of her original starting position.
c) After leaving her cabin, a camper snowshoes 750m [90 degrees] and then 2.20km [270 degrees].
a) Distance = 11.5km Displacement = 3.4km [27 degrees N of W] b) Distance = 522m Displacement = 522m [17 degrees E of N] c) Distance = 2.95km Displacement = 1.45 m [270 degrees]
A boat sails 5.0 km [45 degrees W of N]. It then changes direction and sails 7.0km [45 degrees S of E]. Where does the boat end up with reference to starting point.
2.0 km [45 degrees S of E]
A pellet gun fires a pellet with a velocity of 335 m/s [30 degrees]. What is the magnitude of the vertical components of the velocity at the moment when the bullet was fired.
178m/s
Tourists on a jet ski move 1.20km [55 degrees N of E] and then 3.15km [70 degrees S of E]. Determine the jet skis displacement.
2.65km [48 degrees S of E]
A jogger runs with a velocity of 6.0m/h [25 degrees N of W] for 35min and then changes direction, jogging for 20 min at 4.5km/h [65 degrees E of N]. Using a vector diagram determine the joggers total displacement and his average velocity for the workout.
Total Displacement = 2.8 km [49 degrees N of W]
Average velocity = [49 degrees N of W]
Given that a baseball diamond is a square, assume that the first base line is the horizontal axis. On the second base, a baseball player’s displacement from home plate is 38m [45 degrees].
a) what are the components of the players displacement from home base.
b) Has the runner standing on second base travelled a distance of 38m? Why or why not?
a) 27 for both x and y
b) 54m
Determine the resultant displacement of a skateboarder who rolls 45.0m [310 degrees] and 35.0m [135 degrees]
10.6m [293 degrees]
