Question
(5) What does the 2 in \( v=4 t+2 \) tell you about this situation?
Ask by Ellis Fuentes. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The 2 represents the starting value of v when t is 0.
Solution
The 2 is the constant term (y-intercept) in the equation. This means that when t = 0, v = 2. In a real-world context, it represents the starting value of v before any additional change is due to the term 4t.
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Simplify this solution Beyond the Answer
The 2 in the equation \( v=4 t+2 \) represents the initial value of velocity when time \( t \) is zero. This means that when the time has just started (t=0), the object already has a velocity of 2 units per time interval. It's like starting a race with a running start instead of from a standstill! This also indicates that the object isn't just sitting still at the beginning; it's already moving. So, every second after the start, the velocity increases by 4 units, making the motion dynamic and exciting right from the get-go! It’s like you're on a rollercoaster that begins with some thrilling speed!
