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

  • Thread starter dsptl
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In summary, the car is moving with a constant velocity of 10m/s along a slope with an angle of 20 degrees and a height of 20m. To find the position of point A where the car hits the ground, we can use the equations Vy = 10sin20degree and Vx = 10cos20degree to determine the initial velocity in the vertical and horizontal directions. Then, using the equation y = vi * t + .5at*t, we can solve for the time it takes for the car to hit the ground, which is approximately 4.2 seconds. Finally, we can multiply the time by the horizontal velocity to find the position of point A.
  • #1
dsptl
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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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  • #2
What is the initial velocity in the vertical and horizontal directions?
 
  • #3
i think

Vy = 10sin20degree

Vx = 10cos20degree
 
  • #4
Alright, now how can you determine how long before it hits the ground?
 
  • #5
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
 
  • #6
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.
 
  • #7
so is it like

-20 = -3.4t - 5t*t
 
  • #8
dsptl said:
i think

Vy = 10sin20degree

Vx = 10cos20degree
Is the positive y direction in your coordinate system pointing downward?
 
  • #9
dsptl said:
so is it like

-20 = -3.4t - 5t*t

Thats better.
 
  • #10
then I just multiply t by Vx to get the ans

thx a lot 4 the help
 

What is projectile motion?

Projectile motion is the motion of an object through the air, under the influence of gravity, after being launched at an angle.

What is the angle in projectile motion?

The angle in projectile motion is the angle at which the object is launched from the ground, measured from the horizontal.

How do you solve for projectile motion?

To solve for projectile motion, you need to know the initial velocity, angle of launch, and height of the object. Using these values, you can use equations of motion to calculate the horizontal and vertical components of the object's position, velocity, and acceleration at any given time.

What is the formula for projectile motion?

The formula for projectile motion is:
x = x0 + v0 * cos(theta) * t
y = y0 + v0 * sin(theta) * t - 0.5 * g * t2
where x and y are the horizontal and vertical components of the object's position, x0 and y0 are the initial position, v0 is the initial velocity, theta is the angle of launch, t is time, and g is the acceleration due to gravity (9.8 m/s2).

What factors affect projectile motion?

The factors that affect projectile motion are the initial velocity of the object, the angle at which it is launched, the height of the object, and the force of gravity. Air resistance can also affect the motion, but it is often neglected in simplified calculations.

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