A simple confusion: Showing projectile is launched horizontally

In summary, the equation of trajectory for ball B is y = -0.05x^2, where y is the vertical displacement and x is the horizontal displacement. By taking the derivative of the equation at x=0, it is proven that the ball is projected horizontally as the angle between the ball and the surface is 0.
  • #1
Faiq
348
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Member warned to use the homework template for posts in the homework sections of PF.
The equation of trajectory of ball B is y = -0.05x^2 where y is vertical displacement and x is horizontal. Prove that the ball is projected horizontallyFor this, the mark scheme says
x tan a = 0 so a =0
Since the angle between ball and surface is 0 the object is projected horizontally.
I can't work out how is x tan a = 0
 
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  • #2
The problem statement got lost somehow.
 
  • #3
Please check again
 
  • #4
I don't see where the x would come from.

tan a is the derivative of your function at x=0. The derivative is 0, therefore tan a = 0.
 
  • #5
How do you know the derivative is 0?
 
  • #6
Got it thanks
 

FAQ: A simple confusion: Showing projectile is launched horizontally

1. What is meant by launching a projectile horizontally?

Launching a projectile horizontally means that the object is being thrown or propelled in a straight line parallel to the ground, without any upward or downward angle.

2. How is the horizontal distance of a projectile affected by its initial velocity?

The horizontal distance of a projectile is directly affected by its initial velocity. The higher the initial velocity, the farther the projectile will travel horizontally before hitting the ground.

3. Why is it important to consider air resistance when studying horizontal projectile motion?

Air resistance can significantly affect the motion of a projectile, causing it to slow down and fall at a steeper angle. Ignoring air resistance can lead to inaccurate calculations and predictions.

4. Can a projectile launched horizontally ever reach a maximum height?

No, a projectile launched horizontally will never reach a maximum height because it does not have any vertical velocity to overcome the force of gravity and go against it.

5. How does the angle of launch affect the horizontal distance of a projectile?

The angle of launch has no effect on the horizontal distance of a projectile. As long as the initial velocity remains the same, the horizontal distance will remain constant regardless of the angle of launch.

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