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okay so these are the types of problems where somebodys like throwing something in up in the air and then you know youre trying to find the height at a given time where youre trying to find out how long it takes for the item to hit the ground etc so the form that were gonna be working with is H equals negative 16t squared plus V times T plus s so what all those variables represent well the height H is the height right for at any given time T so T is a time okay oftentimes in seconds s is the initial height okay so thats this here thats the starting height and then V is the initial velocity so like when it leaves your hand lets say the item or when you launch something okay like an arrow and then H is the height at any given time so lets do an example problem and well understand this a little bit better so a person throws a ball upwards with an initial velocity of 12 feet per second from a 40 foot high building how long does it take for the item to hit the ground right all rig