QuestionConsider the graph shown in the figure, which gives the velocity of an object moving along a line. Assume time is measured in hours and distance is measured in miles. The areas of three regions bounded by the velocity curve and the -axis are also given. Complete parts (a) through (e).
a. On what intervals is the object moving in the positive direction?
Select the correct choice and, if necessary, fill in the answer box to complete your choice.
A. The object is moving in the positive direction on the interval(s) 1.
(Type your answer in interval notation. Use a comma to separate answers as needed.)
B. The object is never moving in the positive direction.
Studdy Solution
STEP 1
What is this asking?
When is the object moving forward, given a graph of its velocity?
Watch out!
Don't confuse velocity with *position*.
Positive velocity means moving forward, not necessarily being in front.
STEP 2
1. Analyze the graph
STEP 3
Alright, so we've got this awesome graph showing the **velocity** of our object.
Remember, velocity isn't just about speed, it's about speed *and* direction!
STEP 4
A **positive velocity** means our object is moving forward, a **negative velocity** means it's moving backward, and a **zero velocity** means it's momentarily stopped.
STEP 5
Looking at the graph, we see that the velocity is **positive** from to and from to .
It's **negative** between and .
STEP 6
So, our object is moving in the positive direction from the **start time** to and then again from to .
STEP 7
The object is moving in the positive direction on the intervals and .
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