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†††††††††††††††††††††††††††††††††††††††††††††††††††††††††† TEST: KINEMATICS

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† NAME:_______________

 

FOR FULL MARKS, INCLUDE ALL UNITS WITH YOUR ANSWERS.

 

1.                  A small plane leaves Toronto and flies 80 km [west] to Hamilton.The Hamilton airport is crowded, so the plane is advised to land at Guelph, 20 km [north].††† The Toronto-Hamilton trip takes 20 minutes and the Hamilton-Guelph trip takes 8 minutes.

 

(A)              What is the total distance travelled by the airplane?

Answer:m/s2

 

 

(B)              What is the total displacement?

Answer:m/s2

 

 

(C)              What is the speed for the entire trip?

Answer:m/s2

 

 

(D)              What is the velocity for the Toronto-Hamilton leg of the trip.

Answer:m/s2

 

 

 

2.                  A boy runs out the door and starts down the road for school at 10 km/hr. Six minutes later, his mother discovers that he has forgotten his lunch and she runs after him at 14 km/hr.

 

(A)              How far does he get in 6.0 minutes?

Answer:m/s2

 

 

 

(B)              How long (in seconds) does it take her to catch him?

Answer:m/s2

 

 

 

(C)              How far from home is he when she catches him?

Answer:m/s2

 

 

 

3.                  A car starts at a displacement of 0 m and 0 seconds, travels forward at 5 m/s for 3 seconds, then stops for 2 seconds, then travels in reverse at 3 m/s for 6 seconds.

 

(A)Draw the displacement-time graph.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Answer:m/s2


 

3.                  A plane is moving along at a uniform air speed of 325 km/hr (relative to the air.)The instruments also show that the heading is south [300]west. (direction of plane with respect to air)††† The wind velocity is 80 km/hr [west].What is the velocity of the plane relative to the ground?

Answer:m/s2

 

 

 

 

 

 

 

 

 

4.                  Student AA@ wants to toss a ball directly upwards to Student AB@ who is leaning out a window directly above him.The ball is thrown upwards with a velocity of 8.0 m/s.Student AB@ is 4.0 meters above student AA@.Acceleration due to gravity is 9.8 m/s2 [down].†††††††††

 

How long was the book in the air?

Answer:m/s2

 

 

 

 

 

 

 

 

5.                  A mouse is crawling inside a cart which is being pushed across the deck of a moving boat.The mouse is moving at 0.5 m/s[east] relative to the cart.The cart is travelling at 1.2 m/s[east] relative to the surface of the boat, and the boat is moving at 4.0 m/s north[300] west relative to the water.What is the velocity of the mouse relative to the water?

 

Answer:m/s2

 

 

 

 

 

 

 

 

6.                  A car travels at 100 km/hr [N] when it goes around a curve in 10 seconds, ending up with a final velocity of 100 km/hr [W].What is the carís acceleration?

 

Answer:m/s2