Solving Gravity Problems in Physics

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The discussion revolves around solving two gravity-related physics problems involving projectile motion and diving dynamics. The first problem involves a student throwing a textbook upward at 8.0 m/s, needing to determine how long it was in the air and the distance it traveled upward before being caught at 3.0 m/s. The second problem concerns synchronized divers entering the water at 55 km/h, requiring the calculation of their initial dive speed. The participant expresses confusion about the relevant equations and concepts, particularly regarding the effects of gravity on the thrown book's motion. Understanding these principles is crucial for solving both problems effectively.
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Gravity Problem??

Homework Statement


1) A college student wants to toss a textbook to his roommate who is leaning out the window directly above him. He throws the book up with a velocity of 8.0m/s. The roommate catches the book while it is traveling 3.0m/s upward.
a.) How long was the book in the air?
b)How far did the book travel in the upward direction?

2.) During the 2004 Summer Olympics Emilie Heymans and Blythe Hartley won Canada's first meals with 10.0m synchronized dive. If the divers' heads entered the water 55km/h and each diver was 1.6m tall, at what speed did they initiate their dive?

Homework Equations


Not Sure But Gravity?


The Attempt at a Solution



I was supposed to be their for the lesson but i couldn't because i had a doctors appointment, and i am completely clueless on this lesson and i don't want to be left behind in physics. So far I am understanding it but i don't know what equations they're asking for in these questions. I'm guessing though we have to include gravity.
 
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1.1 the book was thrown upward with an initial speed of 8 m/s, but after the thrower lost contact it lost speed at a rate of 9.81 m/s per second. So how many seconds do you think the book has been traveling up when it has reached a speed of 3 m/s?
 
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