A Projectile Fired At A 45 Degree Angle

In summary: I'm talking about. In summary, the projectile was fired at a 45 degree angle and just barely made it above a 6m high fence that was 100 meters away. Its initial velocity was V0.
  • #36
Yes true, but there was still no 1/2 in either of them.

I tried to work it out without the 1/2 and I kept getting a cubic which cannot be solved. The one half made heaps of difference ;)
 
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  • #37
OUCH! i simply forgot to write down the half! Pretty amazing that no-one noticed! Sorry about that, dude! :)(the half actually appears from taking the anti-derivative of of t, resulting in 0.5(t)^2.)
 
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  • #38
I've haven't learned about anti-derivatives yet. But I see what you have done there.

Its not a problem mate, everyone makes mistakes ;)
 
  • #39
Yup. Those 4 basic equations of motions is what you use when you start out with physics, but you see clearly where they naturally come from first when you learn about derivates and integration.

:)
 
<h2>1. How does the angle of a projectile affect its trajectory?</h2><p>The angle at which a projectile is fired greatly influences its trajectory. At a 45 degree angle, the projectile will follow a parabolic path, reaching the same height as it was launched and landing at the same horizontal distance as it was fired.</p><h2>2. What is the optimal angle for maximum distance when firing a projectile?</h2><p>The optimal angle for maximum distance when firing a projectile is 45 degrees. This angle allows for the longest horizontal distance traveled while also taking into account air resistance and other factors.</p><h2>3. How does air resistance affect a projectile fired at a 45 degree angle?</h2><p>Air resistance can decrease the horizontal distance traveled by a projectile fired at a 45 degree angle. This is due to the fact that air resistance acts in the opposite direction of the projectile's motion, slowing it down and reducing its overall distance traveled.</p><h2>4. Can a projectile fired at a 45 degree angle reach a higher height than its initial position?</h2><p>Yes, a projectile fired at a 45 degree angle can reach a higher height than its initial position. This is because the projectile's initial velocity has both a horizontal and vertical component, allowing it to reach a greater height before falling back to the same horizontal distance as it was fired.</p><h2>5. How does the mass of a projectile affect its trajectory when fired at a 45 degree angle?</h2><p>The mass of a projectile does not significantly affect its trajectory when fired at a 45 degree angle. As long as the initial velocity and angle remain the same, the trajectory will be the same regardless of the projectile's mass. However, a heavier projectile may experience slightly more air resistance, causing it to travel a slightly shorter distance.</p>

1. How does the angle of a projectile affect its trajectory?

The angle at which a projectile is fired greatly influences its trajectory. At a 45 degree angle, the projectile will follow a parabolic path, reaching the same height as it was launched and landing at the same horizontal distance as it was fired.

2. What is the optimal angle for maximum distance when firing a projectile?

The optimal angle for maximum distance when firing a projectile is 45 degrees. This angle allows for the longest horizontal distance traveled while also taking into account air resistance and other factors.

3. How does air resistance affect a projectile fired at a 45 degree angle?

Air resistance can decrease the horizontal distance traveled by a projectile fired at a 45 degree angle. This is due to the fact that air resistance acts in the opposite direction of the projectile's motion, slowing it down and reducing its overall distance traveled.

4. Can a projectile fired at a 45 degree angle reach a higher height than its initial position?

Yes, a projectile fired at a 45 degree angle can reach a higher height than its initial position. This is because the projectile's initial velocity has both a horizontal and vertical component, allowing it to reach a greater height before falling back to the same horizontal distance as it was fired.

5. How does the mass of a projectile affect its trajectory when fired at a 45 degree angle?

The mass of a projectile does not significantly affect its trajectory when fired at a 45 degree angle. As long as the initial velocity and angle remain the same, the trajectory will be the same regardless of the projectile's mass. However, a heavier projectile may experience slightly more air resistance, causing it to travel a slightly shorter distance.

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