Week3a

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Activities

Activity: reading velocity versus time graph.

Shane fires a small rocket off the top of a tower. The rocket soon runs out of fuel and falls to the foot of the tower. Below is the graph of the rocket's velocity $v$ (in feet per second) during the flight:

Rocket's velocity versus time

Answer the following questions:

a) On average, how fast was the rocket flying while the fuel lasted?

b) On average, how fast was the rocket flying during the fall?

c) How long did the entire flight take?

d) How long was the rocket rising?


Activity: interpreting temperature versus time graphs.

You take your favourite mug out of the cupboard and pour hot coffee into it. As a result, the mug starts immediately warming up and the coffee starts to cool down. In the graph below, mug's temperature is represented by the red curve and the coffee's temperature is represented by the blue curve:

Temperature over time

Answer the following questions:

a) What is the temperature of the coffee when it is poured?

b) What is the room's temperature?

c) When are coffee and mug the same temperature?

d) Right at the start, which process is happening faster: coffee cooling or mug heating? What about in 1 minute? In 5 minutes?


Activity: interpreting and identifying various qualities of distance versus time graphs.

The graph sketched below describes what happens when there athletes, Jasmine, Sultan and Raja, enter a 400-meter hurdles race:

Graph for three-athlete race

a) Imagine that you are a radio commentator describing the race. Use the graph to come up with a transcript of your commentary. Be creative and highlight important aspects of the graph.

b) Using the same axis, sketch the velocity curves for the three athletes in the race.


Activity: from velocity-time graph to position-time graph.

A car is travelling along a road and its velocity is recorded as a function of time shown on the graph below:

Car velocity

Draw a position versus time graphs which is consistent with the motion. Collect their work and present it as possible answers to clicker question as to which one describes it best.