How Can You Verify and Complete Parametric Equations for Projectile Motion?

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SUMMARY

The discussion focuses on verifying and completing parametric equations for projectile motion given specific parameters: initial height (H0) of -1.6 meters, time in air of 3.02 seconds, and a horizontal distance of 10 meters. The calculated initial velocity (V0) is 14.268 m/s, leading to the vertical position equation y(t) = -4.9t² + 14.268t + 1.6. The horizontal position equation x(t) requires understanding that the horizontal velocity remains constant, calculated as Vx = horizontal distance/time.

PREREQUISITES
  • Understanding of projectile motion equations
  • Familiarity with quadratic equations
  • Knowledge of initial velocity calculations
  • Basic principles of horizontal and vertical motion components
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  • Learn how to derive horizontal position equations in projectile motion
  • Study the effects of initial height on projectile trajectories
  • Explore the concept of constant velocity in the horizontal direction
  • Investigate the use of kinematic equations in solving motion problems
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Students studying physics, educators teaching projectile motion concepts, and anyone involved in solving kinematic equations in real-world applications.

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Homework Statement


Given:H0-1.6, time in air - 3.02 s, horizontal distance thrown - 10m
Solve:V0 and write parametric equations for x(t) and y(t) - the horizontal and vertical positions of the ball

Homework Equations


h(t)=-4.9t^2+V0t+h0


The Attempt at a Solution


for V0 I got 14.268
when trying to write y(t) I got y(t)=-4.9t^2+14.268t+1.6

I need help verifying that what I got is correct, if any additional information is needed write. I also need help writing x(t), the horizontal position of the ball equation
 
Physics news on Phys.org
How did you get 14.268 for V0?

For writing x(t), what is true about the velocity component in the x direction?
 

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