a) What is the acceleration during the first 4 seconds of motion. ( include sign ) b) What is the acceleration from t = 4 s until t = 7 s? ( include sign ) a = c) What is the acceleration from t = 7 s until t = 8 s? (include sign )

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Chapter1: Units, Trigonometry. And Vectors
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**Graph Description:**

The graph represents velocity \(v(t)\) in meters per second (m/s) against time \(t\) in seconds (s). The velocity-time graph is divided into distinct segments:

1. From \(t = 0\) to \(t = 4\) seconds, the velocity increases linearly from 10 m/s to 30 m/s.
2. From \(t = 4\) to \(t = 7\) seconds, the velocity remains constant at 30 m/s.
3. From \(t = 7\) to \(t = 8\) seconds, the velocity decreases linearly from 30 m/s to 0 m/s.
4. From \(t = 8\) to \(t = 9\) seconds, the velocity remains constant at 0 m/s.

**Questions:**

a) What is the acceleration during the first 4 seconds of motion? (Include sign)

\[ a = \underline{\hspace{2cm}} \]

b) What is the acceleration from \(t = 4\) seconds until \(t = 7\) seconds? (Include sign)

\[ a = \underline{\hspace{2cm}} \]

c) What is the acceleration from \(t = 7\) seconds until \(t = 8\) seconds? (Include sign)

\[ a = \underline{\hspace{2cm}} \]

d) What is the total displacement in the full 9 seconds of motion?

\[ d = \underline{\hspace{2cm}} \]
Transcribed Image Text:**Graph Description:** The graph represents velocity \(v(t)\) in meters per second (m/s) against time \(t\) in seconds (s). The velocity-time graph is divided into distinct segments: 1. From \(t = 0\) to \(t = 4\) seconds, the velocity increases linearly from 10 m/s to 30 m/s. 2. From \(t = 4\) to \(t = 7\) seconds, the velocity remains constant at 30 m/s. 3. From \(t = 7\) to \(t = 8\) seconds, the velocity decreases linearly from 30 m/s to 0 m/s. 4. From \(t = 8\) to \(t = 9\) seconds, the velocity remains constant at 0 m/s. **Questions:** a) What is the acceleration during the first 4 seconds of motion? (Include sign) \[ a = \underline{\hspace{2cm}} \] b) What is the acceleration from \(t = 4\) seconds until \(t = 7\) seconds? (Include sign) \[ a = \underline{\hspace{2cm}} \] c) What is the acceleration from \(t = 7\) seconds until \(t = 8\) seconds? (Include sign) \[ a = \underline{\hspace{2cm}} \] d) What is the total displacement in the full 9 seconds of motion? \[ d = \underline{\hspace{2cm}} \]
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