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#uniform acceleration

16 public questions tagged with this topic.

A 1.5kg object is dropped from 16m. What is its speed just before hitting the ground? (Take g\=10m/s2)

Potential energy V=mgh=1.5×10×16=240J. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 17 m/s. This satisfies dimensional consistency and physical conditions given, so option A is scientifically correct.

Ref: NCERT Class 11 Physics > Chapter 6: Work, Energy and Power > Topic: Work, Energy and Power - Work-Energy Theorem

A vehicle starts from rest and travels 50m in 5s with uniform acceleration. What is its final velocity?

Use x=v0t+12at2 to find a: 50=0⋅5+12a(5)2⇒50=12.5a⇒a=4m/s2. 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 B is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Uniform Acceleration and Graphical Analysis

A body accelerates uniformly from rest to 22m/s over a distance of 121m. What is the acceleration?

Use v2=v02+2ax. Here, v0=0, v=22m/s, x=121m. 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 2 m/s² as the result, so option C is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Uniform Acceleration and Graphical Analysis

A body accelerates uniformly from rest to a velocity of 20m/s over a distance of 50m. What is the acceleration?

Use v2=v02+2ax. Here, v0=0, v=20m/s, x=50m. 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 4 m/s² as the result, so option C is correct.

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

A train accelerates uniformly from rest to 15m/s over a distance of 37.5m. What is its acceleration?

Use v2=v02+2ax. Here, v0=0, v=15m/s, x=37.5m. 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 4 m/s² as the result, so option B is correct.

Ref: NCERT Class 11 Physics > Chapter 3: Motion in a Straight Line > Topic: Distance, Displacement and Velocity-Time Relations