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NAME: ____________________________________ Part A – Multiple choice (3 marks each) Question 1 Which of the following accurately describes the x- displacement of an object as a function of angle ?

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NAME: ____________________________________

Part A Multiple choice (3 marks each)

Question 1

Which of the following accurately describes the x-displacement of an object as a function of angle ?

Question 2

Which of the following ticker tape experiments accurately describes the situation represented below?

a) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

b) . . . . . . . . . . . . . . . . .

c) .. . . . . . . . . . . . .

d) . . . . . . . . . .

e) .. . . . . . . . . . . . . . . .

Question 3

A man is standing at the bottom of a well and throws his shovel straight upwards. Determine the signs of acceleration, initial velocity, and initial position.

a) a < 0 , v > 0 , p < 0

b) a < 0 , v > 0 , p = 0

c) a < 0 , v < 0 , p < 0

d) a > 0 , v > 0 , p > 0

e) Both a) and b) are correct

Question 4

Which of the following can be used to describe the forces acting on a sled being pulled across rough pavement?

Question 5

An object is rolling off the edge of a table with a velocity V. As the object falls off the table, a second object is released vertically from the same height as the table. Which of the following parameters do the objects not have in common?

a) Vfy

b) Vfx

c) dy

d) t

e) All of the above are common for both objects.

Question 6

Which of the following accurately describes either displacement or distance traveled?

a) Displacement considers only the initial and final position

b) Displacement considers the movement of an object as a function of time

c) Distance traveled considers only the initial and final position

d) Distance traveled considers the change of position as a function of time

e) None of the above are correct

Question 7

The principles of vector addition in 2-D space can be described by the following mathematical phrase:

Part B Short answers

Question 1

A racecar can be slowed at an acceleration rate of -10m/s2. If it is going at a speed of 75.0m/s, how many meters will it take to stop? (3 marks)

Question 2

An egg is dropped out of a window, landing on a harmless squirrel located 12 meters below. What was the final velocity of the egg as it hit the squirrel (ignoring air resistance)? (3 marks)

Question 3

An ECS graduate decides to be an aeronautical engineer. She designs a jet and takes it for a flight test. If her jet is flying at 145m/s and then accelerates uniformly at a rate of 23.1m/s2 for 20 seconds, what is the jets final velocity? (3 marks)

Question 4

Using your knowledge of motion graphs, label each graph below as either constant acceleration or no acceleration. (3 marks)

Question 5

A ball is projected at an angle with an initial velocity of 31.8m/s at an angle of 67.5 degrees from the horizontal. The trajectory shows the position of the ball after each second. Fill in the horizontal velocities and vertical velocities for each time interval. (4 marks)

Question 6

The graph below displays the position of a cart moving in a single direction as a function of time. It has been divided into four intervals. Which time interval(s) is the speed of the cart constant and non-zero? Justify your answer. (2 marks)

Question 7

Describe the coefficient of friction and how it relates to the roughness or smoothness of a surface. Use examples and numbers to explain your answer. (2 marks)

Part C Long answer (answer only 2 out of the 3 following questions)

Question 1 (6 marks)

A chandelier is hanging from the ceiling as shown below. If the chandelier weighs 212N and the tension creates the angles below, determine magnitude of the two tensions indicated in the diagram.

Question 2 (6 marks)

The following is a graphical representation of a rollercoaster. Use the diagram to render a rough sketch of a position vs time and velocity vs time. Make the two graphs proportional to each other so that P and v can be followed simultaneously.

Question 3 (6 marks)

Natalie is swinging from a Tarzan rope into a large lake. Right before the swing changes direction and comes back, she lets go and her momentum propels her into the lake. If it took 3 seconds to hit the water, she was launched at 20 above the horizontal and she landed 10 meters away horizontally from where she let go of the rope:

a) What was her initial velocity?

b) How high above the water level was she when she let go of the rope?

Part D Long answer (answer only 1 out of the 2 questions)

Question 5 (10 marks)

Mr. Afshar needs to exert a minimum force of 675N to get a 40kg object moving and to overcome the static friction. Once the object starts to move, he needs to provide only 575N to keep the object in motion at constant velocity.

a) What is the coefficient of static friction? (2 marks)

b) What is the coefficient of kinetic friction? (3 marks)

c) Immediately after overcoming the static friction and before adjusting to kinetic friction, what is the acceleration of the object? (5 marks)

Question 6 (10 marks)

Token race question :D (you knew it was coming)

Paul Walker (Rest In Peace) is in a fast and furious race sequence where he needs to get his car to the end of a racetrack in less than 3 minutes; otherwise Vin Diesel will gloat his testosterone superiority for years to come.

Will Paul get to his destination in 3 minutes if:

The top speed of his car is 190km/h (52.8 m/s)

The turning speed is 80km/h on a wide turn (22.2 m/s)

The turning speed is 60km/h on a sharp turn (16.7 m/s)

The braking deceleration is -10m/s2

The acceleration is 7m/s2

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