At any instant of time t, the displacement of any particle is given by 2t -1 (SI unit) under the inf

At any instant of time t, the displacement of any particle is given by 2t -1 (SI unit) under the influence of force of 5N. The value of instantaneous power is (in SI unit) :
(1) 10
(2) 5
(3) 7
(4) 6
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*Title:* Understanding Instantaneous Power in Mechanics | Physics for IIT JEE & NEET 2025

*Description:*

Welcome to our channel! In this video, our team delves into the concept of *instantaneous power**, a crucial topic in the study of mechanics and energy. This concept is vital for both **IIT JEE* and *NEET* Physics and helps in understanding how energy is transferred in dynamic systems.

🔍 *What You’ll Learn:*
1. **Basics of Instantaneous Power**:
- What instantaneous power is and how it differs from average power.
- The role of force and velocity in determining instantaneous power.

2. **Displacement and Velocity Relationship**:
- How to calculate velocity from displacement equations and its importance in power calculations.
- Understanding the relationship between displacement, velocity, and instantaneous power.

3. **Calculating Instantaneous Power**:
- The formula for instantaneous power and how to apply it in various scenarios.
- Practical examples to illustrate how to compute instantaneous power when given displacement and force.

4. **Applications and Importance**:
- Real-world applications of instantaneous power in engineering, physics, and technology.
- How understanding instantaneous power can aid in solving complex problems in competitive exams.

5. **Exam Preparation Tips**:
- Techniques for solving problems related to instantaneous power in IIT JEE and NEET.
- Key concepts and formulas to remember for tackling these topics effectively in exams.

💡 **Why This Topic Matters for IIT JEE and NEET**:
- Mastery of power calculations is essential for understanding energy transfer, which is a fundamental part of the mechanics syllabus for both IIT JEE and NEET.

📚 **Explore Related Topics**:
- **Work and Energy**: [Link to Video]
- **Kinetic Energy and Power**: [Link to Video]
- **Force and Motion**: [Link to Video]

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This description provides a comprehensive overview of instantaneous power, focusing on key concepts and their relevance for IIT JEE and NEET, while maintaining a team-oriented tone.
To find the instantaneous power at any instant \( t \), given the displacement and the force, follow these steps:

1. **Displacement Equation**:
- Displacement

2. **Velocity Calculation**:
- Velocity
- So, the velocity is constant and equal to 2 m/s.

3. **Force**:
- The force is given as 5 N.

4. **Instantaneous Power**:
- Power
- Substituting the values:

So, the value of the instantaneous power is:

*(1) 10*
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