Projectile Motion: How Far Will a Seed Travel at a Given Angle and Velocity?

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SUMMARY

The discussion focuses on calculating the distance a seed travels when projected from a height of 1.4 meters at a velocity of 3.0 m/s at an angle of 20 degrees below the horizontal. The key equations used include the decomposition of the initial velocity into horizontal (vxo) and vertical (vyo) components, calculated as vxo = 3.0 * cos(20) and vyo = 3.0 * sin(20). The quadratic equation is employed to determine the time of flight, using the formula 0 = 1/2 * (9.8)t^2 + (3sin(20))t + 1.4. Finally, the total distance is computed by multiplying the horizontal velocity by the overall time of flight.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of trigonometric functions (sine and cosine)
  • Familiarity with the quadratic equation
  • Basic physics concepts related to gravity (9.8 m/s²)
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Learn how to apply the quadratic formula in physics problems
  • Explore the effects of different launch angles on projectile distance
  • Investigate real-world applications of projectile motion in agriculture
USEFUL FOR

Students studying physics, educators teaching projectile motion concepts, and anyone interested in the practical applications of physics in agriculture and seed dispersal.

runningirl
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Homework Statement



You spit a seed from a height of 1.4 m above the ground, at a velocity of 3.0 m/s at an angle of 20 below the horizontal. How far from you does it land?

Homework Equations



vxo= vo(cos20)
vyo=vo(sin20

The Attempt at a Solution



not sure where to start..
 
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Break the overall velocity into x and y components.

x direction <=> 3cos(20) = ?

y direction <=> 3sin(20) = ?

Use quadratic equation to find the overall time.

0= 1/2 (9.8)t^2 ( value for a) + 3sin(20)t (value for b) + 1.4 (value for c)

Total distance traveled can be calculated by ( 3cos(20) x ( overall time))

P.S. Next time , at least try to initiate the attempt.

Good luck.
 
Last edited:

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