NCERT · Class 11 · Physics · Motion in a Straight LineThe motion of an object along a straight line is described by the equation x = 3t - 4t^2 + t^3. What is the initial velocity of the object?
Step-by-Step Solution
Velocity v = dx/dt = 3 - 8t + 3t^2. At initial time t = 0, v = 3 - 8(0) + 3(0)^2 = 3 m/s. Therefore, the correct option is 3 m/s.
Detailed Options Breakdown
Option : 0 m/s
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Motion in a Straight Line.
Option 1: 3 m/s (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: -4 m/s
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Motion in a Straight Line.
Option 3: 1 m/s
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Motion in a Straight Line.
💡 Study Guide: This question tests core syllabus concepts from Motion in a Straight Line. For formulas, key summaries, and mock exam reference guides, read the full Motion in a Straight Line Revision Notes.