Solving Gravity Problems in Physics

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SUMMARY

The discussion focuses on solving gravity-related problems in physics, specifically two scenarios involving projectile motion and diving dynamics. In the first problem, a textbook is thrown upward at 8.0 m/s, and the student needs to determine the time the book is in the air and the maximum height reached before descending. The second problem involves calculating the initial speed of divers entering the water at 55 km/h after a synchronized dive. Key equations involve gravitational acceleration at 9.81 m/s².

PREREQUISITES
  • Understanding of basic kinematics principles
  • Familiarity with gravitational acceleration (9.81 m/s²)
  • Knowledge of projectile motion equations
  • Ability to convert units (e.g., km/h to m/s)
NEXT STEPS
  • Study the equations of motion for projectile motion
  • Learn how to apply the kinematic equations in gravity problems
  • Explore unit conversion techniques for speed and distance
  • Investigate real-world applications of projectile motion in sports
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of motion under the influence of gravity.

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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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