Solve Kinematics Problem: Autographed Baseball Falling Off Desk

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SUMMARY

The problem involves calculating the initial velocity of an autographed baseball that rolls off a 1.2 m high desk and lands 0.41 m away. The acceleration due to gravity is 9.81 m/s². To solve this, first determine the time of free fall using the equation d = 0.5gt², where d is the height of the desk. Once the time is calculated, use the equation v = d/t to find the initial velocity of the baseball on the desk.

PREREQUISITES
  • Understanding of kinematic equations, specifically d = 0.5gt² and v = d/t.
  • Basic knowledge of projectile motion and free fall concepts.
  • Familiarity with solving quadratic equations.
  • Ability to manipulate algebraic equations to isolate variables.
NEXT STEPS
  • Study the derivation and application of kinematic equations in projectile motion.
  • Learn how to solve for time in free fall problems using d = 0.5gt².
  • Practice similar kinematics problems involving different heights and distances.
  • Explore the effects of initial velocity on projectile motion and landing distance.
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those tackling kinematics problems involving free fall and projectile motion. It is also useful for educators seeking examples to illustrate these concepts.

hypoovenmitts
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Homework Statement



An autographed baseball rolls off of a 1.2 m high desk and strikes the floor 0.41 m away from the desk. The acceleration of gravity is 9.81 m/s2 . How fast was it rolling on the desk before it fell off?
Answer in units of m/s.

Homework Equations



You might need to use
v^2=vi^2 + 2a(x-xi)
although I'm not really sure. :/

The Attempt at a Solution



I'm not sure how to solve this when you're not given the velocity :( I just need someone to explain how to do this, because there's 3 problems on my homework exactly like it but with different numbers. Thank you~
 
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hypoovenmitts said:

Homework Equations



You might need to use
v^2=vi^2 + 2a(x-xi)
although I'm not really sure. :/
There are more equations than just that one for kinematics problems. Find an equation that involves time, which you can solve for. Figuring out how long it takes the ball to hit the floor will be a big first step in solving this problem.

The Attempt at a Solution



I'm not sure how to solve this when you're not given the velocity :( I just need someone to explain how to do this, because there's 3 problems on my homework exactly like it but with different numbers. Thank you~
 
hi ,

first, i try to get the t from the free fall equation d=.5gt^2, given d=1.2m and g=9.81 m/sec/sec. Once i get the t, i use this on the equation v = d/t, d = 0.41m and t from the first part.
 

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