Question

a) What is the sum of the two vectors a = (3.50, 3.50) and b = (−11.80, 3.50)? (Express your answer in vector form.)

b) What are the magnitude and direction in degrees counterclockwise from the +x-axis of a + b?

c) You have been wrongly convicted of a crime and need to escape from prison in order to set the record straight. How long in seconds would it take to dig a 215 m long tunnel using a teaspoon (V_spoon ≈ 5 cm³)? (Assume you do not need any breaks for resting or eating. Furthermore, assume that you are moving the dirt just to your back, so that you do not take time taking the dirt to another place. Assume it takes one second per spoonful. Furthermore, assume that you have an unlimited air supply, which is not realistic if you are taking the dirt from the front of the tunnel and placing it at your back. For your body to fit through the tunnel, it must have a diameter of at least your shoulder width, but you will need extra room to manoeuvre. Let's say the tunnel needs to be 1 m in diameter.)

Answer 1

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