Stuntman jumping 2D kinematics.

AI Thread Summary
A stuntman jumps from building A to building B, with a flight duration of 1 second and an initial speed Vo at a 30-degree angle. Building B is 0.9 meters shorter than building A, prompting the need to calculate the horizontal distance covered and the maximum height reached. The horizontal displacement is calculated using the equation x = cos(30) * Vo * 1s, while the vertical displacement incorporates gravitational effects and the height difference. To solve for Vo, the vertical displacement equation must be utilized, considering the negative value for the height difference. The discussion emphasizes the need to derive Vo from vertical data to subsequently find horizontal displacement.
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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