Solve Projectile Motion: Angle=20°, Height=20m

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The discussion focuses on solving a projectile motion problem involving a car moving at a constant velocity of 10 m/s along a slope at a 20-degree angle and a height of 20 m. Participants clarify the initial vertical and horizontal velocity components, calculating them as Vy = 10sin(20°) and Vx = 10cos(20°). They address the equation for vertical motion, emphasizing the importance of correctly assigning signs to displacement and acceleration to avoid complex solutions. The conversation concludes with a method to find the time before the car hits the ground by adjusting the equation and using the horizontal velocity to determine the final position. The collaborative effort highlights the critical steps in solving projectile motion problems effectively.
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A car is moving with constant velocity along a slope as shown in the figure. The magnitude of the velocity is 10m/s. Find the position of point A where the car hits the ground.

Angle = 20 degree
Height = 20m


http://maxupload.com


I have freaking no idea form where to start. Please help asap
 
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What is the initial velocity in the vertical and horizontal directions?
 
i think

Vy = 10sin20degree

Vx = 10cos20degree
 
Alright, now how can you determine how long before it hits the ground?
 
danago said:
Alright, now how can you determine how long before it hits the ground?

y = vi * t + .5at*t

20 = 3.4t - 5t*t
 
dsptl said:
y = vi * t + .5at*t

20 = 3.4t - 5t*t

You need to be careful of your signs. You have acceleration as negative there, but you have both displacement and velocity as positive, even though they are in the same direction as acceleration here. If you try to solve that you will get complex solutions.
 
so is it like

-20 = -3.4t - 5t*t
 
dsptl said:
i think

Vy = 10sin20degree

Vx = 10cos20degree
Is the positive y direction in your coordinate system pointing downward?
 
dsptl said:
so is it like

-20 = -3.4t - 5t*t

Thats better.
 
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then I just multiply t by Vx to get the ans

thx a lot 4 the help
 
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