Motion In A Plane With Constant Acceleration
Chapter Name : Motion In Plane |
Sub Topic Code : 101_11_04_08_01 |
Topic Name : Motion In A Plane With Constant Acceleration |
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Sub Topic Name : Motion In A Plane With Constant Acceleration |
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Introduction
The kinetic equations for uniformly accelerated motion in a plane are: • Vx = ux + axt , v = uy + ayt • Sy = uxt + ½ at^2 , Sy = ayt + ½ ayt^2
Pre-Requisites:
Position vector, displacement, velocity, acceleration
Activity:
Develop knowledge of motion in day to day life. Understand the concept of uniform accelerated motion in two dimensions.
Real Life Question:
How much time does a stone (projectile) thrown from the roof of a building take to reach the ground and how much horizontal distance does it cover before it lands?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Motion | Change in position of an object with time. |
| Motion in a plane | Motion in a plane (two-dimensions) can be treated as two separate simultaneous one-dimensional motions with constant acceleration along two perpendicular directions. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Projectile | Observe how a stone thrown from the top of a building moves along a parabolic trajectory. |
| Boat-river problems | Observe how a boat moves in two dimensions with respect to a river. |
Practical examples around us
| Examples | Explainations |
|---|---|
| A stone thrown from the roof of a building | When a stone is thrown from the top of a building, it falls under the influence of gravity and has velocity in two dimensions. |
What you learn in Theory:
What is uniformly accelerated motion in two dimensions?
What you learn in Practice:
Day-to-day examples of uniformly accelerated motion in two dimensions and deriving its kinetic equations.