Math Problem Statement
Solution
To determine the time at which the object changes direction, we need to find when its velocity becomes zero, as a change in direction occurs when the object momentarily stops moving in one direction before reversing.
Given:
Set to solve for :
Rearrange to find :
Thus, the object changes direction at 3.0 seconds.
The correct answer is: (B) 3.0 s
Would you like more details or have any questions?
Here are some related questions for further exploration:
- How would the answer change if the acceleration term were positive instead of negative?
- What does the slope of the velocity equation represent in terms of physics?
- How can we determine if the object continues to accelerate after changing direction?
- What would be the displacement of the object at the point where it changes direction?
- How would you graph the velocity over time for this problem?
Tip: To analyze motion effectively, always check where velocity reaches zero to identify any change in direction.
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Math Problem Analysis
Mathematical Concepts
Algebra
Kinematics
Linear Equations
Formulas
v = v0 + at
Theorems
Concept of velocity reaching zero for change in direction
Suitable Grade Level
Grades 10-12
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