Instantaneous Velocity
Mediumphysics
The position of a particle is given by x = 3t² - 2t + 5, where x is in meters and t is in seconds. What is the instantaneous velocity at t = 2 s?
Select the correct option:
Solution
Incorrect! Answer:
10 m/s
- Definition: Velocity is the first derivative of position with respect to time.
- v=dtdx.
- Differentiate Function:
- x=3t2−2t+5.
- v(t)=6t−2.
- Evaluate at t=2 s:
- v(2)=6(2)−2=12−2=10 m/s.
- Result: The instantaneous velocity is 10 m/s.
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About This Question
- Subject
- physics
- Chapter
- kinematics
- Topic
- instantaneous velocity
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
10 m/s
- Definition: Velocity is the first derivative of position with respect to time.
- v=dtdx.
- Differentiate Function:
- x=3t2−2t+5.
- v(t)=6t−2.
- Evaluate at t=2 s:
- v(2)=6(2)−2=12−2=10 m/s.
- Result: The instantaneous velocity is 10 m/s.
This medium difficulty physics question is from the chapter kinematics, covering the topic of instantaneous velocity. It appeared in the 2025 exam.
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