In this video I show you how to:<br /><br />1) Show that velocity is the rate of change of displacement with time [v=dx/dt].<br />2) Show that acceleration is the rate of change of velocity with time [a=dv/dt=d^2x/dt^2].<br />3) Prove that to obtain the velocity from the acceleration, you integrate with respect to time.<br />4) Prove that to obtain the displacement from the velocity, you integrate with respect to time.<br /><br />I would recommend watching my previous video (<a href="https://youtu.be/2zWkIFX7NFA" target="_blank" rel="nofollow">https://youtu.be/2zWkIFX7NFA</a>) before you watch this to get a deeper understanding.<br /><br />If you require extra help with either differentiation or integration, I would recommend buying Core Mathematics books from my Amazon store (which I receive affiliate commissions from):<br /><br /><a href="https://www.amazon.co.uk/shop/mathematics.proofs?listId=2898DASDIUPLA" target="_blank" rel="nofollow">https://www.amazon.co.uk/shop/mathematics.proofs?listId=2898DASDIUPLA</a><br /><br />Your purchases help support the maintenance of my mathematics proofs project.<br /><br />For more algebra help and mathematics proofs, visit:<br /><br /><a href="https://www.instagram.com/mathematics.proofs" target="_blank" rel="nofollow">https://www.instagram.com/mathematics.proofs</a><br /><br />You can follow me on social media via the links below:<br /><br /><a href="https://www.instagram.com/tiago_hands" target="_blank" rel="nofollow">https://www.instagram.com/tiago_hands</a><br /><br /><a href="https://www.twitter.com/tiago_hands" target="_blank" rel="nofollow">https://www.twitter.com/tiago_hands</a><br /><br />Thanks for watching and make sure you are subscribed for more content like this! All the best!<br />...<br /><a href="https://www.youtube.com/watch?v=nMyF1DMB5R8" target="_blank" rel="nofollow">https://www.youtube.com/watch?v=nMyF1DMB5R8</a>