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**IGCSE Mathematics**(0580)

# IGCSE Mathematics (0580)

Welcome to IGCSE Mathematics (0580) taught by Mr. George. By taking this course, you are encouraged to develop mathematical ability as a key life skill, and as a strong basis for further study of mathematics or to support skills in other subjects.

- develops learners' competency, confidence, and fluency in their use of techniques with and without the use of a calculator, cultivating mathematical understanding.
- develops learners’ feel for quantity, patterns, and relationships, encouraging learners’ reasoning and analytical skills.
- places a strong emphasis on solving problems in mathematics and real-life contexts.
- promotes appropriate presentation and interpretation of results, encouraging learners’ understanding of how to communicate and reason mathematically.

#### Learning Objectives:

## Project

Acceleration is the rate at which the velocity of an object changes over time. An object’s acceleration is the result of the sum of all the forces acting on the object, as described by Newton’s second law. Under ideal circumstances, gravity is the only force acting on a freely falling object. In this lab, you will measure the displacement of a freely falling object, calculate the average velocity of a falling object at set time intervals, and calculate the object’s acceleration due to gravity.

The objectives of this experiment are as follows:- to measure the displacement of a freely falling object
- to test the hypothesis that the acceleration of a freely falling object is uniform
- to calculate the uniform acceleration of a falling object due to gravity, g.

**Please read the following sections very carefully, you are required to complete this template after doing the project**

### Theory

The instant when the ball is released is considered to be the initial time t = 0. The position of the ball along the ruler is described by the variable y. The position of the ball at a time t is given by

where y0 is the initial position of the ball. The velocity of the ball at a time t is given by

Likewise, the relationship between the instantaneous velocity and time can be measured by the equation:

### Accepted Value

The acceleration due to gravity varies slightly, depending on the latitude and the height above the earths surface. In this experiment the change in height of the falling object is negligible and can be approximated as 0 km for its entire descent. The standard gravitational acceleration on Earth is:

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