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#speed calculation

8 public questions tagged with this topic.

A 5kg block slides down a frictionless incline from 6m height. What is its speed at the bottom? (Take g\=10m/s2)

Potential energy mgh=5×10×6=300J. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 11 m/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics > Chapter 6: Work, Energy and Power > Topic: Energy Conservation and Friction

A 0.6kg pendulum bob completes a vertical circle of radius 1.2m. What is the speed at the top? (Take g\=10m/s2)

At top, minimum speed vC=gL=10×1.2=12≈3.46m/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 3 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 - Practice Set0

A ball is thrown horizontally at 11m/s from a height of 19.6m. What is its speed on hitting the ground? (Take g\=9.8m/s2

Vertical velocity: vy=2gh=2×9.8×19.6=384.16≈19.6m/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 20 m/s 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

A ball is thrown horizontally at 8m/s from a height of 12.5m. What is its speed on hitting the ground? (Take g\=10m/s2)

Vertical velocity: vy=2gh=2×10×12.5=250≈15.81m/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 15 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

A ball is thrown upwards at 20m/s from a 50m tower. What is its speed when it passes 20m below the tower’s top? (Take g\

Displacement y=−20m, v2=(20)2+2⋅10⋅20=400+400=800. 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: Motion in a Straight Line - Advanced Problems