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 )
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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![**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?
\[ d = \underline{\hspace{2cm}} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c7298e3-3d00-4a87-b4cb-338ff2975fde%2F0b7d3e0c-6720-427e-88b2-8ccf581463c5%2Fhg6vbtd_processed.png&w=3840&q=75)
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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