Uploaded by Kim Gatti

Intro to Calculus Activity

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Try to categorize the following words into two lists. Brainstorm what the heading of
each list could be.
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Speed
Total Growth
Rate of Snowfall
Distance Traveled
List 1
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Change in Elevation
Accumulated Snowfall
Gradient
Rate of Growth
List 2
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Distance From Home
(miles)
The graph below shows the distance traveled by a truck over an 8-hour time period.
Make and justify as many statements as you can (at least 5) about the truck’s speed at
various times.
Time (hours)
Below is another graph representing distance versus time in which Alex traveled to
the mountains for a trip. Use the graph to answer the following questions.
Estimate the speed at which Alex was traveling at each of the lettered times in the
graph above. Write your speeds on the graph near the letter.
What approach did you take to finding these speeds?
The graph below shows the speed of an object in meters per second over a 40-second
time period.
a) What is the total distance the object covers in the first 10 seconds?
b) What is the total distance the object covers between 20 and 30 seconds?
c) What is the total distance the object covers between 10 and 20 seconds?
d) How can you find the total distance traveled by the object? Find it!
Speed of truck (mph)
The graph below shows the speed of a truck in miles per hour over a 6-hour period.
Estimate the total distance the truck has traveled during this time.
Time (hours)
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