Solving Physics Problems: Ball Drop and Race Calculations

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SUMMARY

This discussion focuses on solving physics problems related to projectile motion and relative speed. The first problem involves two individuals on an 80 m high roof, where one throws a ball upwards at 20 m/s and the other drops a ball. The key calculations include the time difference in their descent, their final velocities, and the displacement between them. The second problem compares the race between a rabbit and a tortoise, with the rabbit resting for 10 minutes and moving 50 times faster than the tortoise, which travels at 5 cm/s. The discussion emphasizes the use of kinematic equations and gravitational acceleration of 9.81 m/s².

PREREQUISITES
  • Understanding of kinematic equations for projectile motion
  • Knowledge of gravitational acceleration (9.81 m/s²)
  • Basic concepts of relative speed and motion
  • Ability to solve quadratic equations
NEXT STEPS
  • Study the kinematic equations for free-fall motion
  • Learn how to calculate time of flight for projectile motion
  • Explore the concept of relative velocity in motion problems
  • Practice solving problems involving acceleration and displacement
USEFUL FOR

Students studying physics, educators teaching motion concepts, and anyone interested in solving real-world physics problems involving projectile motion and relative speed.

dmasports
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I've been having some problems with these problems, I'd appreciate any help.

1. There are 2 people standing on a roof 80 m high, person #1 throws a ball straight up in the air with an initial velocity of 20 m/s, person #2 has a replica of the ball and drops it off the roof at the same initial velocity.

How much sooner does #2 hit the ground than #1?

What is the difference in their final velocities?

What is the displacement between #1 and #2

2. There is a race between a rabit and tourtise, the rabit rests for 10 min before starting and is 50 times faster than the tourtise. The tourtis's speed is 5 cm/s, and it ends up loosing the race by 100 cm.

How longs the race?

How long does the race last?




Thanks for the Help! :cool:
 
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For the first one, what is the speed of ball #1 when it returns to the roof level on the way down?

How would you find the time it takes to reach its peak of motion and return to the roof level?

What do you know of the equations of motion of a free falling object?
 
more

all that was given to us was that acceleration is 9.81 m/s, besides that nothing else is known
 

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