# Motion in a line

A few questions…

![a7d460e3-0043-4177-a419-136198ea3f56.jpeg](https://res.craft.do/user/full/34ae8ebc-d508-7305-20e2-17e06364862c/DBFB41D1-B30F-443C-80D3-8D8734FDDD81_2/ZLjoOApONW00KD4npBIEk5r1rdny19dIusmtVzkWdTEz/a7d460e3-0043-4177-a419-136198ea3f56.jpeg)

## Reference Material

[Physics - Class 11 - Sugeeth - Ls 2 - Motion in a Straight Line - Full](https://drive.google.com/file/d/18F7rYjFJAYy8wMYTQ8vm341ro-ltvSCp/view?usp=drive_link)

[CH3\_Motion in 1D\_Shobhit Nirwan.pdf](https://drive.google.com/file/d/1M536mCXMD0OSFNFIz-AhqlWDKLhrM1eU/view?usp=drive_link)

## Questions

1. If a = 2t + 1, find the average velocity.
2. If a = 2t^2 + 1, find average acceleration between t=1 sec to t =3 sec.
3. A car is moving with a velocity of 25 m/s. It undergoes a retardation of a = -2$$\sqrt{v}$$. Find the time at which it comes to rest.

## Quick Overview

1. General Common Sense Qs
2. Distance vs Displacement
3. Speed
   * Uniform Speed
   * Non-uniform Speed
   * Instantaneous Speed → Measured by Speedometer
   * Average Speed
     * for equal distances
     * for equal time
     * between two points
4. Velocity
   * Uniform Velocity
   * Non-uniform Velocity
   * Instantaneous Velocity
     * It's differentiatable nature
   * Average Velocity
     * for equal distances
     * for equal time
     * between two points
5. Acceleration
   * Uniform Acceleration
   * Non-uniform Acceleration
   * Instantaneous Acceleration → It's differentiatable nature
   * Average Acceleration
     * between two points
6. Graphs
   * s-t, v-t and a-t time graphs
   * Curve of the slope
   * Calculations on Slope of the graphs
7. Equations of Motion
   * Graphical Derivation
   * Calculus Derivation
8. Netwon's Law of Odd Numbers