Principles of projectile motion and kinematics homework

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SUMMARY

The discussion focuses on solving a projectile motion problem involving a ball thrown at a speed of 32.0 m/s and an angle of 38.0° towards a wall located 15.0 m away. The key calculations include determining the height at which the ball strikes the wall, as well as the horizontal and vertical components of its velocity upon impact. The horizontal component of velocity is constant at 25.22 m/s, while the vertical component requires calculating the time of flight to find its value accurately. The incorrect vertical velocity value of 19.7 m/s indicates a need for further analysis of the time taken for the ball to reach the wall.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of kinematic equations
  • Ability to resolve vectors into horizontal and vertical components
  • Familiarity with calculating time of flight in projectile motion
NEXT STEPS
  • Calculate the time of flight using the horizontal distance and horizontal velocity
  • Learn to derive vertical velocity using kinematic equations
  • Explore the effects of different launch angles on projectile motion
  • Study the impact of initial speed variations on projectile trajectories
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Students studying physics, educators teaching kinematics, and anyone interested in mastering projectile motion concepts.

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Homework Statement


You throw a ball toward a wall at speed 32.0 m/s and at angle θ0 = 38.0° above the horizontal (Fig. 4-35). The wall is distance d = 15.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and (c) vertical components of its velocity as it hits the wall?


Homework Equations





The Attempt at a Solution



For part B, I got 25.22 m/s..
When I put in part C as 19.7, which is what i thought it was, it said it's wrong.
What should I do from here?
 
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While the horizontal velocity remains constant, the vertical velocity changes as the ball moves. You need to know what time the ball hits the wall in order to find the vertical component of velocity.

Solve the problem step by step using the principles of projectile motion and kinematics.
 

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