Vector 2D Problem: Solve for Horizontal Range & Time in Motion

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SUMMARY

The discussion revolves around solving a 2D vector problem involving projectile motion, specifically calculating the horizontal range and time of flight for a ball fired at an initial speed of 1.70 x 103 m/s at a 55-degree angle. The key equations of motion for this kinematics problem include the horizontal range formula and the time of flight formula. The absence of air resistance simplifies the calculations, allowing for straightforward application of these equations. Understanding the decomposition of initial velocity into horizontal and vertical components is essential for solving such problems.

PREREQUISITES
  • Understanding of kinematics and projectile motion principles
  • Familiarity with trigonometric functions for angle calculations
  • Knowledge of the equations of motion for horizontal and vertical components
  • Ability to perform vector decomposition of initial velocity
NEXT STEPS
  • Study the horizontal range formula: R = (v02 * sin(2θ)) / g
  • Learn about the time of flight formula: T = (2 * v0 * sin(θ)) / g
  • Explore the effects of air resistance on projectile motion
  • Practice solving various projectile motion problems using different initial angles and speeds
USEFUL FOR

Students in physics, educators teaching kinematics, and anyone interested in mastering projectile motion calculations will benefit from this discussion.

arizona_cards_11
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I would really appreciate it if you could help me out with this type of problem...I'm struggling a bit on the order of work that I need to do.

Problem: The ball is fired from the ground with an initial speed of 1.70 x 10^3 m/s at an initial angle of 55 degrees to the horizontal. Neglecting air resistance, find:

a) The balls horizontal range?
b) The amount of time the ball is in motion?

My Thoughts: I'm not sure which formulas to begin with...I'm still slightly confused on the operations with component and vector projectile problems in 2D.
 
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This type of question is fundamntal. What equations of motion do you use for your foundation?
 
This is a kinematics problem, not a vector problem.
 

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