Finding Height to Land Golf Ball 1m Away: Need Advice

  • Thread starter Thread starter Shiz Stain
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SUMMARY

The discussion centers on calculating the height of a ramp required for a golf ball to land exactly 1 meter away from a table after rolling down the ramp and traveling 2 cm across the table. Key equations utilized include kinematic equations such as Vf² = Vi² + 2a (displacement) and the relationship between acceleration down an incline and gravitational force, a = g*sinθ. The final calculations determined that the ramp height should be 0.25 meters to achieve the desired landing distance, with the necessary horizontal velocity calculated to be 2.2 m/s.

PREREQUISITES
  • Understanding of kinematic equations, specifically Vf² = Vi² + 2a (displacement)
  • Knowledge of gravitational acceleration (g = 9.8 m/s² or 10 m/s²)
  • Familiarity with the concept of acceleration on an incline (a = g*sinθ)
  • Basic trigonometry for calculating angles and ramp height
NEXT STEPS
  • Study the derivation and application of kinematic equations in projectile motion
  • Learn about the principles of energy conservation in mechanical systems
  • Explore the relationship between angle of incline and acceleration in physics
  • Practice solving problems involving motion on inclined planes and horizontal distances
USEFUL FOR

Students in physics or engineering courses, educators teaching mechanics, and anyone interested in understanding projectile motion and inclined plane dynamics.

  • #31
Shiz Stain said:
Oh ok will do, just one question I now treat this as a trig equation and do this

sin(A) = opposite / hypotenuse
sin (0.25) = X / 2.15 m
0.25 * 2.15 = x
0.53 m =x

x = 53cm or 0.53 m

No. X was already your answer directly.

X = .25m using your numbers.
 
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  • #32
ah ok thanks for the help

so when the ramp is at 0.25m and the golf ball is released and goes down the ramp it will land 1 m away from the table.

Thanks for the help really appreciate it and next time will try to look at a problem in different ways, but the good news is you helped me on how to do this and I probably have all these equations memorized by now hahathanks for the help ^^
 

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