how to find the average velocity and instantaneous velocity? Calculus 1 tutorial

TL;DR

The content explains how to calculate average speed and instantaneous velocity using position and velocity functions.

Transcript

okay Andrew this is for you we are given a position function of the moving particle and we have two parts first we are going to find the average speed from 4 to 6 and this right here is the slope formula pretty much right so I will just write this down right here the average remember what you do is you look at the final position so I just put up th... Read More

Key Insights

• 🧘 Average speed is determined by subtracting initial position from final position and dividing by time taken.
• 🧘 Position at a specific time is obtained by substituting the time value into the position function.
• 🧘 Instantaneous velocity is found by taking the derivative of the position function.
• ✊ The velocity function is derived by bringing down the power as a coefficient and reducing the power by 1.
• ⌛ Instantaneous velocity at a specific time is calculated by substituting the time value into the velocity function.
• 🗨️ Negative velocity indicates motion towards the left.
• 🤒 Average speed is measured in meters per second.

Summary & Key Takeaways

• The content discusses finding the average speed by subtracting the initial position from the final position and dividing by the time taken.

• The position function is provided and used to calculate the position at a specific time by substituting the time value.

• To find the instantaneous velocity, the derivative of the position function is taken.

• The velocity function is derived, and the instantaneous velocity at a specific time is calculated by substituting the time value.