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#motion problems

3 public questions tagged with this topic.

A train moving at 126km/h decelerates at 2m/s2 for 10s, then at 5m/s2 until it stops. What is the total distance covered

Speed: 126km/h=35m/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 35 m/s as the result, so option A is correct.

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

A truck moving at 15m/s decelerates uniformly and stops after 30m. How long does it take to stop?

Use v2=v02+2ax to find a: 0=(15)2+2a(30)⇒0=225+60a⇒a=−3.75m/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 4 s 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 stone falls from a height of 98m on a planet and takes 3.5s to reach the ground. What is the gravitational acceleratio

h=12gt2, 98=12g(3.5)2⇒98=6.125g⇒g=16m/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 16 m/s² as the result, so option D is correct.

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