Motion and Time

ЁЯПл MP BoardClass 7Science

ЁЯУР Formula & Cheat Sheet (English)

Quick Revision Notes: Motion and Time

Class: 7 Science (MP Board)


### Concept 1: Motion (рдЧрддрд┐)

  • Motion: An object is said to be in motion if it changes its position with respect to time.
  • Types of Motion (рдЧрддрд┐ рдХреЗ рдкреНрд░рдХрд╛рд░):
    1. Rectilinear Motion (рд╕рд░рд▓ рд░реЗрдЦреАрдп рдЧрддрд┐): Motion along a straight line (e.g., marching soldiers, a car moving on a straight road).
    2. Circular Motion (рд╡реГрддреНрддреАрдп рдЧрддрд┐): Motion along a circular path (e.g., motion of the earth around the sun, hands of a clock).
    3. Periodic Motion (рдЖрд╡рд░реНрддреА рдЧрддрд┐): Motion that repeats itself after regular intervals of time (e.g., a simple pendulum, swinging of a child).

### Concept 2: Slow or Fast Motion (рдзреАрдореА рдпрд╛ рддреЗрдЬ рдЧрддрд┐)

  • The distance covered by two different objects in the same time interval helps us decide which one is faster and which one is slower.
  • Speed (рдЪрд╛рд▓): The distance covered by an object in a unit time (per second or per hour) is called the speed of the object.

### Key Formulas (рдорд╣рддреНрд╡рдкреВрд░реНрдг рд╕реВрддреНрд░)

1. Speed (рдЪрд╛рд▓)

$$\text{Speed} = \frac{\text{Total Distance Covered}}{\text{Total Time Taken}}$$ In symbol form: $$v = \frac{d}{t}$$ Where:

  • $v$ = Speed
  • $d$ = Distance
  • $t$ = Time

2. Distance (рджреВрд░реА)

$$\text{Distance} = \text{Speed} \times \text{Time}$$ $$d = v \times t$$

3. Time (рд╕рдордп)

$$\text{Time} = \frac{\text{Distance}}{\text{Speed}}$$ $$t = \frac{d}{v}$$


### Concept 3: Units of Measurement (рдорд╛рдкрди рдХреЗ рдорд╛рддреНрд░рдХ)

  • SI Unit of Distance (рджреВрд░реА рдХрд╛ рдПрд╕.рдЖрдИ. рдорд╛рддреНрд░рдХ): Meter ($m$)
  • SI Unit of Time (рд╕рдордп рдХрд╛ рдПрд╕.рдЖрдИ. рдорд╛рддреНрд░рдХ): Second ($s$)
  • SI Unit of Speed (рдЪрд╛рд▓ рдХрд╛ рдПрд╕.рдЖрдИ. рдорд╛рддреНрд░рдХ): Meter per second ($m/s$)
  • Other common units of speed: Kilometer per hour ($km/h$)

Conversion (рдкрд░рд┐рд╡рд░реНрддрди):

  • To convert $km/h$ to $m/s$, multiply by $\frac{5}{18}$.
  • To convert $m/s$ to $km/h$, multiply by $\frac{18}{5}$.

### Concept 4: Measurement of Time (рд╕рдордп рдХрд╛ рдорд╛рдкрди)

  • Ancient humans used periodic events in nature to measure time (e.g., day to night, one sunrise to the next, phases of the moon).
  • Simple Pendulum (рд╕рд░рд▓ рд▓реЛрд▓рдХ):
    • Consists of a small metallic ball (bob) suspended from a rigid stand by a thread.
    • Oscillation (рджреЛрд▓рди): One complete to-and-fro motion of the pendulum.
    • Time Period (рдЖрд╡рд░реНрдд рдХрд╛рд▓): The time taken by the pendulum to complete one oscillation.

### Concept 5: Distance-Time Graph (рджреВрд░реА-рд╕рдордп рдЧреНрд░рд╛рдл)

  • A graph that shows the relation between distance covered by an object and the time taken.
  • Uniform Motion (рдПрдХ рд╕рдорд╛рди рдЧрддрд┐): When an object moves along a straight line with a constant speed, its distance-time graph is a straight line.
  • Non-Uniform Motion (рдЕрд╕рдорд╛рди рдЧрддрд┐): If the speed of an object moving along a straight line keeps changing, its distance-time graph is not a straight line (it can be curved).