QUESTION IMAGE
Question
in which of the following situations would a car be speeding up while traveling to the right?
tive velocity and
tive acceleration
positive velocity and
negative acceleration
negative velocity and
positive acceleration
negative velocity and
negative acceleration
To determine when a car moving right (positive direction) speeds up, we analyze velocity and acceleration signs:
- Speeding up occurs when velocity and acceleration have the same sign (both positive or both negative, depending on direction).
- The car travels right, so velocity is positive. For speeding up, acceleration must also be positive (same direction as velocity, increasing speed).
- Let’s evaluate the options:
- Option 1 (partially visible, likely "positive velocity and positive acceleration"): Positive velocity (right) + positive acceleration (same direction) → speeds up.
- Option 2 (positive velocity, negative acceleration): Opposite signs → slowing down.
- Option 3 (negative velocity, positive acceleration): Negative velocity (left) + positive acceleration (right) → slowing down (opposite directions).
- Option 4 (negative velocity, negative acceleration): Negative velocity (left) + negative acceleration (left) → speeds up (same direction) but velocity is negative (moving left), not right.
Thus, the correct option is the one with positive velocity and positive acceleration (the first, partially visible option, or if we assume the first option is "positive velocity and positive acceleration").
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Assuming the first option is "positive velocity and positive acceleration", the answer is:
A. positive velocity and positive acceleration (or the corresponding labeled option with this description)