Accelerated Motion in [2]- initial speed and launch angle

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SUMMARY

The discussion focuses on solving a projectile motion problem where the range is 483 meters and the maximum height is 65 meters. To determine the initial speed and launch angle, participants emphasize the importance of using kinematic equations relevant to projectile motion. Key equations include those for calculating initial vertical velocity and total time of flight, which are essential for deriving the required parameters. The assumption that the start and finish heights are equal simplifies the analysis.

PREREQUISITES
  • Understanding of kinematic equations for projectile motion
  • Knowledge of initial velocity components in vertical and horizontal directions
  • Familiarity with algebraic manipulation of equations
  • Basic concepts of maximum height and range in projectile motion
NEXT STEPS
  • Study the derivation of the projectile motion equations
  • Learn how to calculate initial velocity from maximum height using the equation \( v_y^2 = v_{0y}^2 - 2g h \)
  • Explore the relationship between range, launch angle, and initial speed using the equation \( R = \frac{v_0^2 \sin(2\theta)}{g} \)
  • Practice solving similar projectile motion problems with varying parameters
USEFUL FOR

Students in physics, educators teaching projectile motion concepts, and anyone seeking to enhance their problem-solving skills in kinematics.

hsphysics2
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Homework Statement



The range of a projectile is 483m, and it reached a maximum height of 65m. What were the initial speed and launch angle of the projectile? Assume the start and finish heights are equal.

Homework Equations





The Attempt at a Solution



I just need a push in the right direction. I know I'll have to do some algebra and sub eq'ns into other eq'ns but I'm not sure where to start
 
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hsphysics2 said:

Homework Statement



The range of a projectile is 483m, and it reached a maximum height of 65m. What were the initial speed and launch angle of the projectile? Assume the start and finish heights are equal.

Homework Equations





The Attempt at a Solution



I just need a push in the right direction. I know I'll have to do some algebra and sub eq'ns into other eq'ns but I'm not sure where to start
Start by gathering together all the kinematic equations you think might be relevant. For example, you're given the maximum height; What equations might you use to determine the initial y-velocity and total time of flight? The usual projectile motion equations for the x and y components are always good to include.
 

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