for intro in a lab report do u have to write the relevance to the world? ( if yes where would it go , after purpose?)and what would be a good hypothesis in a lab for acceleration due to gravity?

relevance to the world? I have never heard of anything such as that.

Galileo said that things fall at the same rate. That could be a hypothesis.

In a lab report, it is important to provide an introduction that sets the context, describes the purpose of the experiment, and provides relevant background information. While it is not always necessary to explicitly state the relevance to the world in the introduction, it can be included if it adds value to the understanding of the experiment. If included, it can be placed after the purpose statement.

As for a hypothesis for an experiment on acceleration due to gravity, a good one could be:

"Hypothesis: The acceleration due to gravity will be approximately 9.8 m/s^2, as predicted by Newton's law of universal gravitation."

To formulate a good hypothesis, consider the variables involved, background knowledge about the topic, and any theories or principles that may apply. In this case, Newton's law of universal gravitation provides the foundation for the hypothesis, suggesting that the acceleration due to gravity should be around 9.8 m/s^2 near the Earth's surface. The purpose of conducting the experiment would then be to test this hypothesis and determine if the measured value aligns with the expected value.