Stuntman jumping 2D kinematics.

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SUMMARY

The discussion centers on a physics problem involving a stuntman jumping from one building to another, specifically analyzing his kinematics. The stuntman jumps at an initial speed (Vo) at a 30-degree angle, with a flight duration of 1 second. Building B is 0.9 meters shorter than Building A. The horizontal displacement is calculated using the equation x = cos(30) * Vo * 1s, while the vertical displacement incorporates gravitational effects, yielding y = sin(30) * Vo - 4.9 - 0.9. The challenge lies in determining Vo from the vertical displacement to subsequently solve for horizontal distance.

PREREQUISITES
  • Understanding of 2D kinematics
  • Proficiency in using trigonometric functions (sine and cosine)
  • Familiarity with gravitational acceleration (9.8 m/s²)
  • Ability to manipulate and solve equations involving displacement and velocity
NEXT STEPS
  • Calculate initial velocity (Vo) using vertical displacement equations
  • Explore projectile motion concepts in physics
  • Learn about the effects of angle on projectile range
  • Investigate real-world applications of kinematics in stunt performances
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators looking for practical examples of projectile motion in action.

CandyApples
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Homework Statement


A stuntman is jumping from building A to building B. His flight lasts 1s. He leaves point A with a speed of Vo at an angle of 30 degrees above horizontal. Building B is .9m shorter than building A. What horizontal distance was covered by the stuntman given he makes it to the very edge of building B? What was the maximum height with respect to the starting point attained by the stuntman?


Homework Equations


Displacement and velocity kinematic equations.


The Attempt at a Solution


displacement x= cos(30)*Vo*1s
displacement y= sin(30)*vo+.5(-9.8)(1)-.9m

I know that somehow i need to find Vo from the Y data then plug it into the x displacement equation but i am not sure how this is going to be possible with the given information.
 
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CandyApples said:

Homework Statement


A stuntman is jumping from building A to building B. His flight lasts 1s. He leaves point A with a speed of Vo at an angle of 30 degrees above horizontal. Building B is .9m shorter than building A. What horizontal distance was covered by the stuntman given he makes it to the very edge of building B? What was the maximum height with respect to the starting point attained by the stuntman?


Homework Equations


Displacement and velocity kinematic equations.


The Attempt at a Solution


displacement x= cos(30)*Vo*1s
displacement y= sin(30)*vo+.5(-9.8)(1)-.9m

I know that somehow i need to find Vo from the Y data then plug it into the x displacement equation but i am not sure how this is going to be possible with the given information.
Consider building A as a xy origin, and building B as a final point. When you look at the formula for vertical displacement y=-1/2*g*t2+vy*t, you know the time t and position y at that time t. Take under consideration that y is negative (-9).
 

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