How do I calculate the time and distance for a pendulum projectile problem?

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SUMMARY

The discussion focuses on calculating the time and distance for a pendulum projectile problem. The user successfully determined the time of flight using the formula t = (2dy/g)^(1/2), where dy represents the vertical displacement and g is the acceleration due to gravity. This formula allows for accurate time calculation, which is essential for applying the distance formula d = vt in the x-plane. The approach effectively combines kinematic equations to solve the projectile motion problem.

PREREQUISITES
  • Understanding of basic physics concepts, specifically projectile motion.
  • Familiarity with kinematic equations, particularly t = (2dy/g)^(1/2).
  • Knowledge of gravitational acceleration (g = 9.81 m/s²).
  • Ability to manipulate algebraic formulas for solving equations.
NEXT STEPS
  • Explore advanced projectile motion concepts, including air resistance effects.
  • Learn about the derivation and application of kinematic equations in different scenarios.
  • Investigate the use of simulation tools for visualizing projectile motion.
  • Study the impact of varying angles on projectile distance and time of flight.
USEFUL FOR

Students studying physics, educators teaching mechanics, and hobbyists interested in projectile motion calculations.

velocityoverrtime2
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Homework Statement
A mass has a maximum speed of 1.905 m/s when it is at the lowest point of a pendulum swing. The lowest point is 0.5984 meters off the floor. At which horizontal position on the floor from the pendulum equilibrium position must a target be placed to hit the center of the target?
Relevant Equations
mgh=1/2mv^2
d=vt
Tried to find time in seconds in order to use the formula d=vt and find the distance in the x plane in which the target must be placed, to no avail.
 
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velocityoverrtime2 said:
Nevermind I found time from release to landing by using the formula t=(2dy/g)^1/2
 
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