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#motion equations

2 public questions tagged with this topic.

Acceleration and Velocity Analysis

A particle starts from rest with an acceleration of (3i^+5j^)m/s2. What is its displacement magnitude after 2s?

Displacement r=12at2 (since v0=0). As per NCERT Chapter 3, equations v=u+at, s=ut+½at², v²=u²+2as describe uniformly accelerated motion. Applying correct signs and units gives 10 m as the result, so option A is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Acceleration and Velocity Analysis - Part 8

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Straight Line Motion - Mixed Concepts

A particle’s position is given by x\=5t−3t2 and y\=4t2 (in meters and seconds). What is its speed at t\=1s?

Velocity: vx=dxdt=5−6t,vy=dydt=8t. As per NCERT Chapter 3, equations v=u+at, s=ut+½at², v²=u²+2as describe uniformly accelerated motion. Applying correct signs and units gives 5 m/s as the result, so option A is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Straight Line Motion - Mixed Concepts

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