When analyzing a velocity vs. time graph to determine the constants in the kinematic equation v = Vo + at, you must use a linear equation (y = mx +b). If you the computer gave you the values of m and b, how would you determine the initial velocity? Select one: O Initial velocity = m O Initial velocity = y O Initial velocity = b O Initial velocity = x

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Title: Determining Initial Velocity from a Velocity vs. Time Graph**

**Content:**

When analyzing a velocity vs. time graph to determine the constants in the kinematic equation \( v = v_0 + at \), you must use a linear equation (\( y = mx + b \)). If the computer gave you the values of \( m \) and \( b \), how would you determine the initial velocity?

Select one:
- \( \) Initial velocity = \( m \)
- \( \) Initial velocity = \( y \)
- \( \) Initial velocity = \( b \)
- \( \) Initial velocity = \( x \)

**Explanation:**
In the context of the velocity vs. time graph, the kinematic equation \( v = v_0 + at \) can be compared to the linear equation \( y = mx + b \). Here, velocity \( v \) corresponds to \( y \), time \( t \) corresponds to \( x \), acceleration \( a \) corresponds to the slope \( m \), and the initial velocity \( v_0 \) corresponds to the y-intercept \( b \). Therefore, the initial velocity can be determined from the y-intercept of the linear equation, which means:

Initial velocity \( v_0 \) = \( b \).
Transcribed Image Text:**Title: Determining Initial Velocity from a Velocity vs. Time Graph** **Content:** When analyzing a velocity vs. time graph to determine the constants in the kinematic equation \( v = v_0 + at \), you must use a linear equation (\( y = mx + b \)). If the computer gave you the values of \( m \) and \( b \), how would you determine the initial velocity? Select one: - \( \) Initial velocity = \( m \) - \( \) Initial velocity = \( y \) - \( \) Initial velocity = \( b \) - \( \) Initial velocity = \( x \) **Explanation:** In the context of the velocity vs. time graph, the kinematic equation \( v = v_0 + at \) can be compared to the linear equation \( y = mx + b \). Here, velocity \( v \) corresponds to \( y \), time \( t \) corresponds to \( x \), acceleration \( a \) corresponds to the slope \( m \), and the initial velocity \( v_0 \) corresponds to the y-intercept \( b \). Therefore, the initial velocity can be determined from the y-intercept of the linear equation, which means: Initial velocity \( v_0 \) = \( b \).
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