How Do You Calculate Initial Velocity of a Baseball Hit at an Angle?

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SUMMARY

The initial velocity of a baseball hit at a 45-degree angle and landing 98 meters away can be calculated using the equation x = ViT - 1/2gt^2. In this scenario, the horizontal motion does not experience acceleration, while the vertical motion is influenced by gravitational acceleration (g). Understanding the separation of horizontal and vertical components is crucial for solving projectile motion problems effectively.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Knowledge of gravitational acceleration (g = 9.81 m/s²)
  • Ability to decompose vectors into horizontal and vertical components
NEXT STEPS
  • Study kinematic equations for projectile motion
  • Learn how to derive initial velocity from range and angle
  • Explore the effects of air resistance on projectile motion
  • Practice solving similar problems using different angles and distances
USEFUL FOR

Students in physics courses, educators teaching projectile motion, and anyone interested in understanding the mechanics of baseball trajectories.

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Homework Statement


A baseball is hit at a 45 degree angle and lands at a distance of 98 meters away. What was the initial velocity of the ball?


Homework Equations


x=ViT - 1/2gt^2



The Attempt at a Solution


i havnt made an attempt considering i am extremely lost and do not know where to begin, can anyone give me a hint on where to start?
 
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A good point to start is to read the textbook and find the right equations. That implies some effort to understand what is going on.
There is no acceleration on the x direction (assuming that by x you mean the horizontal direction). The acceleration g is along the y (vertical) direction.
 

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