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#vector addition

7 public questions tagged with this topic.

Motion Parameters and Calculations

A boat sails east at 8m/s while a current flows north at 6m/s. What is the magnitude of the boat’s velocity relative to

Velocity components: vx=8m/s,vy=6m/s. 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/s as the result, so option B is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Motion Parameters and Calculations

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Motion Parameters and Calculations

A particle has an initial velocity of 3 î m/s and a constant acceleration of 2 ĵ m/s². What is the magnitude of its disp

Displacement r = v₀ t + (1/2) a t². 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 9 m as the result, so option A is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Motion Parameters and Calculations

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Acceleration and Velocity Analysis

A boat travels west at 6m/s while a current flows south at 8m/s. What is the magnitude of the boat’s velocity relative t

Velocity components: vx=−6m/s,vy=−8m/s. 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/s as the result, so option B 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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Acceleration and Velocity Analysis

A cyclist moves east at 18m/s while the wind blows south at 24m/s. What is the magnitude of the relative velocity of the

Relative velocity vwc=vw−vc, where vc=18i^,vw=−24j^. 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 30 m/s as the result, so option B 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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Acceleration and Velocity Analysis

A swimmer moves north at 3m/s in a river flowing west at 4m/s. What is the magnitude of the swimmer’s velocity relative

Velocity components: vx=−4m/s,vy=3m/s. 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 B 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 boat moves north at 20 km/h while a river current flows east at 15 km/h. What is the magnitude of the resultant veloci

Resultant velocity R = √(v\_x² + v\_y²). 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 25 km/h as the result, so option B is correct.

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

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Equations of Motion and Problem Solving

A plane flies east at 40m/s while a wind blows north at 30m/s. What is the magnitude of the plane’s velocity relative to

Velocity components: vx=40m/s,vy=30m/s. 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 50 m/s as the result, so option B is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Equations of Motion and Problem Solving

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