How to solve kinematics problems involving constant velocity and acceleration?

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SUMMARY

This discussion focuses on solving kinematics problems involving constant velocity and acceleration. The specific problems include calculating the depth of a lake where a lead ball sinks, determining the distance a shopping cart rolls downhill before being caught, and finding the rocket's acceleration after a bolt falls off. Key equations of motion are implied, and the participants emphasize the need for a structured approach to apply these equations effectively.

PREREQUISITES
  • Understanding of kinematic equations for constant acceleration
  • Knowledge of free fall and constant velocity concepts
  • Familiarity with the principles of motion on inclined planes
  • Ability to analyze motion in vertical and horizontal dimensions
NEXT STEPS
  • Study the kinematic equations: \(d = vt + \frac{1}{2}at^2\)
  • Learn how to apply the concept of relative motion in kinematics
  • Explore the effects of friction on motion in inclined planes
  • Investigate the relationship between acceleration, time, and distance in vertical motion
USEFUL FOR

Students in physics courses, educators teaching kinematics, and anyone looking to enhance their problem-solving skills in motion-related scenarios.

julianne
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Kinematics Homework Help!

There are a few of my homework Problems I am having trouble with:
1) A lead ball is dropped into a lake from a diving board 5.80 above the water. After entering the water, it sinks to the bottom with a constant velocity equal to the velocity with which it hit the water. The ball reaches the bottom 3.50 after it is released. How deep is the lake?


2)Jill has just gotten out of her car in the grocery store parking lot. The parking lot is on a hill and is tilted . Fifty meters downhill from Jill, a little old lady let's go of a fully loaded shopping cart. The cart, with frictionless wheels, starts to roll straight downhill. Jill immediately starts to sprint after the cart with her top acceleration of 2 m/s^2 . How far has the cart rolled before Jill catches it?

3)A rocket is launched straight up with constant acceleration. Four seconds after liftoff, a bolt falls off the side of the rocket. The bolt hits the ground 7.10 later. What was the rocket's acceleration?


In all of the problems I have the basic understanding of the equations and knowledge needed to solve them but am having some trouble putting it all together. Thanks!

Julianne
 
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how do you think these problems should be solved? any guesses?
 

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