A body moves along a straight line with constant acceleration for 20 s after it starts from res

Name: Problem 60, Chapter 2: IIT JEE Super Course in Physics: Mechanics I
Uploaded: 2021-06-08T04:24:38-08:00
Duration: 2 min 20 s
Channel: Satpal Satpal
Description: A body moves along a straight line with constant acceleration for 20 s after it starts from rest. It covers a distance S in the first 10 seconds and S, in the next 10 seconds of its motion. Relation between S1 and S2 is (a) S2=3 S1 (b) S2=4 S1 (c) S2=2 S1 (d) S2=S1

step 1 So in this question we have been asked to find out the relation between S1 and S2. So let us fir

Question

A body moves along a straight line with constant acceleration for $20 \mathrm{~s}$ after it starts from rest. It covers a distance $\mathrm{S}$ in the first 10 seconds and $\mathrm{S}$, in the next 10 seconds of its motion. Relation between $\mathrm{S}_{1}$ and $\mathrm{S}_{2}$ is (a) $\mathrm{S}_{2}=3 \mathrm{~S}_{1}$ (b) $\mathrm{S}_{2}=4 \mathrm{~S}_{1}$ (c) $\mathrm{S}_{2}=2 \mathrm{~S}_{1}$ (d) $\mathrm{S}_{2}=\mathrm{S}_{1}$

    A body moves along a straight line with constant acceleration for $20 \mathrm{~s}$ after it starts from rest. It covers a distance $\mathrm{S}$ in the first 10 seconds and $\mathrm{S}$, in the next 10 seconds of its motion. Relation between $\mathrm{S}_{1}$ and $\mathrm{S}_{2}$ is
(a) $\mathrm{S}_{2}=3 \mathrm{~S}_{1}$
(b) $\mathrm{S}_{2}=4 \mathrm{~S}_{1}$
(c) $\mathrm{S}_{2}=2 \mathrm{~S}_{1}$
(d) $\mathrm{S}_{2}=\mathrm{S}_{1}$

IIT JEE Super Course in Physics: Mechanics I

Trishna Knowledge… 1st Edition

Chapter 2, Problem 60

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Solved by Expert Satpal Satpal

06/08/2021

Step 1

Step 1: We know that the distance covered by a body under constant acceleration is given by the equation $S = \frac{1}{2}at^2$, where $a$ is the acceleration and $t$ is the time. Show more…

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A body moves along a straight line with constant acceleration for $20 \mathrm{~s}$ after it starts from rest. It covers a distance $\mathrm{S}$ in the first 10 seconds and $\mathrm{S}$, in the next 10 seconds of its motion. Relation between $\mathrm{S}_{1}$ and $\mathrm{S}_{2}$ is (a) $\mathrm{S}_{2}=3 \mathrm{~S}_{1}$ (b) $\mathrm{S}_{2}=4 \mathrm{~S}_{1}$ (c) $\mathrm{S}_{2}=2 \mathrm{~S}_{1}$ (d) $\mathrm{S}_{2}=\mathrm{S}_{1}$

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Key Concepts

Uniform Acceleration

This concept refers to motion in which an object's acceleration remains constant. It forms the basis of many kinematic problems, allowing the use of specific equations to relate displacement, velocity, acceleration, and time.

Kinematic Equations

These are mathematical formulas used to solve problems involving constant acceleration. A key equation, s = ut + ½at² (where u is the initial velocity), enables the calculation of displacement over time, especially when the object starts from rest.

Time Interval Analysis

This involves breaking the motion into specific time segments to analyze how displacement accumulates over different intervals. It is crucial for understanding how the distance covered in successive time intervals relates to each other in uniformly accelerated motion.

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