Uniform Acceleration Graphs – Motion from Rest | JEE Physics Graphs | Doubtify JEE

 

🚀 Uniform Acceleration Motion Graphs | Kinematics | Doubtify JEE

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📌 Question:

A particle starts from origin O from rest and moves with a uniform acceleration along the positive x-axis.

👉 Identify all the graphs that correctly represent the motion qualitatively:

• a = acceleration

• v = velocity

• x = displacement

• t = time

This is a conceptual question testing your understanding of motion graphs!

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🖼️ Question Image:

🧠 Solution Image:

🧪 Explanation:

Let’s break it down using the basic equations of uniformly accelerated motion:

1. Initial Velocity (u) = 0,

2. Acceleration (a) = constant > 0

Using equations of motion:

• v = u + at → v ∝ t

• x = ut + ½at² → x ∝ t²

• a = constant

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✅ Correct Graphs:

• a-t graph: Should be a horizontal line (since a is constant).

• v-t graph: Should be a straight line passing through origin (v ∝ t).

• x-t graph: Should be a curve opening upward, since x ∝ t² (parabola).

• v-x graph: Should be a square root function, since v² = 2ax ⇒ v ∝ √x.

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❌ Incorrect Graphs (Examples):

• Any flat v-t (implies constant velocity)

• Any straight-line x-t (implies zero acceleration)

• Any a-t sloped or curved (implies non-uniform acceleration)

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🎥 Video Solution:

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🔍 Why This Question Is Important:

• Very common concept in JEE Mains & Advanced

• Tests if you understand qualitative physics

• Helps build graphical interpretation skills

• Often used to frame tricky assertion-reasoning type questions

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🧠 Pro Tip:

Whenever a particle starts from rest and accelerates uniformly:
👉 Displacement curve = parabolic
👉 Velocity-time = linear
👉 Acceleration-time = constant
👉 Always sketch all graphs while practicing to visualize motion better!

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