2. During 4.0 min on a lake, a loon moves 25.0 m [E 30.0° N] and then 75.0 m [E 45.0° S]. Determine the loon's (a) total distance travelled (b) total displacement (c) average speed (d) average velocity TA
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- A man walks 20.0km South and then 8.00km 35.0oN of W. a) What is the man’s displacement ? (16.7km, 67o S of W) b) What is the man’s average speed if the entire trip takes 12.0 hours ? (2.30km/hr) c) What is the man’s average velocity ? (1.40km/hr, 67o S of W)In reaching her destination, a backpacker walks with an average velocity of 1.01 m/s, due west. This average velocity results, because she hikes for 5.44 km with an average velocity of 2.59 m/s due west, turns around, and hikes with an average velocity of 0.397 m/s due east. How far east did she walk (in kilometers)? Number i| ! West Units de VW dw km VE East1. A train leaves the station on a 50 km commute. The train must make a 60-second stopevery 1.0 km to pick up and drop off passengers. The train accelerates at 2.0 m/s2, then cruises at90 km/h, and then decelerates at 5.0 m/s2 between stops.(a.} How many stops does the train make?(b.} How long does it take for the train to get from one stop to the next?(c.} What is the total time for the entire commute?
- #13. A plane is travelling with a velocity relative to the air of 3.5 × 10² km/h [N 35° W] as it passes over Kitchener-Waterloo. The wind velocity is 62 km/h [S]. a) Determine the velocity of the plane relative to the ground. Ans: 3.0 × 10² km/h [N42° W] b) Determine the displacement of the plane after 1.2 h. Ans: 3.6 × 10² km [N 42° W]7. Using components, determine the total displacement from the following individual displacements: Ad, = 2.5 m [W 30.0° S], Ad₂ = 3.6 m [S], and Ad¸= 4.9 m [E 38.0° S]. 1 8. A boat travelling on the St. Lawrence River moves 2.70 km [E 25.0° N] and then changes direction and moves 4.80 km [E 45.0° S]. Determine (a) the components of the total displacement and (b) the total displacement of the boat. ™
- 2. In Figure, a bird changes direction in 2.8 s while flying from point 1 to point 2. Determine the bird's average acceleration. Hint: Use component method. (A /6 man 2 v₂ = 8.5 m/s [E 30.0° N] = 6.4 m/s [E 30.0° S]When applying the equations of kinematics for an object moving in one dimension, which of the following must be true? А. The velocity of the object must remain constant. В. The acceleration of the object must remain constant. С. The velocity of the object must increase with time. The position of the object must increase with time.2. A child running around in a field has the following position and velocity at time t = 0: x = 1.5 m, y = 2.0 m Vx = -3.5 m/s, vy=-1.0 m/s At time t = 2.5 s, it has the following position and velocity: x = -2.0 m, y = 1.5 m vx = -0.50 m/s, v, = 2.0 m/s Using this information, find the child's average velocity and average acceleration during that time interval. Write your answers in unit vector notation.
- On a fishing trip on Lesser Slave Lake you drive your motorboat north at 20.0 km/h for 30.0 minutes. After realizing that you passed your fishing spot, you turn south and travel at 35 hm/h for 10.0 minutes. Determine your average. a) speed for this trip. [24km/h] b) velocity for this trip. [ 6.3 hm/h, North]2. A group of students conducted a projectile experiment in which they fired a projectile at an unknown angle with varying speed. Students took the following data for projectile range and speed. Determine: a. What kind of graph comes out if initial velocity vs. range is plotted? R(m) Volm/s) 0.2 1.71 0.4 2.42 0.6 2.97 0.8 3.43 3.83 1.2 4.2 1.4 4.53 1.6 4.84 1.8 5.14 2 5.42 b. What is the linearization method for this graph? c. Make the linearized graph and determine its slope with its units. d. Determine the initial angle at which the projectile was launched.A group of hikers sets out going 10.0km [N], then 15.0km [E], then 4.0km [S]. The entire trip takes 4.00h. Determine the magnitude hikers' velocity for the trip. 4.04 km/h [N 21.8° E] 5.25 km/h [N 21.8° E] 7.25 km/h [N 21.8° E] 21.0 km/h [N 21.8° E] 65.25 km/h [N 21.8° E]