Range an Arrow travels shot upwards towards a projectile falling due to gravity

In summary, the problem involves calculating at what height above your head an arrow, with an initial velocity of 25 m/sec, will destroy a melon dropped on you from a vertical distance of 60 meters. The equations used for this attempt were unclear, leading to bizarre numbers. Assistance is greatly appreciated.
  • #1
fazer
2
0
Hi,

I have a quick question on a problem I can't seem to solve. Any help =)

PROBLEM

Somebody drops a melon on you from a vertical distance of 60 meters directly above your head. To save yourself, you shoot an arrow straight up at the melon at the instant the melon was released. The initial velocity of the arrow is 25 m/sec. At what height above your head will the arrow destroy the melon? (The melon's mass is 1 Kg)ATTEMPT

I tried making the equations equal to each other, but I don't know which equation is the correct one to use for this attempt. I keep getting really BIZZARE numbers
Any help is GREATLY appreciated, thanks =)
Fazer
 
Last edited:
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FAQ: Range an Arrow travels shot upwards towards a projectile falling due to gravity

How does the range of an arrow change when shot upwards?

The range of an arrow decreases when shot upwards compared to when it is shot horizontally. This is because the force of gravity acts on the arrow as it travels upwards, causing it to slow down and fall to the ground at a shorter distance.

Does the angle of the arrow affect its range when shot upwards?

Yes, the angle at which the arrow is shot upwards will affect its range. The optimal angle for maximum range is 45 degrees, as this allows the arrow to travel the farthest before falling back to the ground due to gravity.

How is the range of an arrow affected by the weight of the arrow?

The weight of the arrow does not directly affect its range when shot upwards. However, a heavier arrow may experience more air resistance and may not travel as far as a lighter arrow.

Can the range of an arrow be increased by increasing its initial velocity?

Yes, the range of an arrow can be increased by increasing its initial velocity when shot upwards. This is because a higher initial velocity means the arrow will travel farther before being affected by gravity and falling back to the ground.

How does air resistance affect the range of an arrow when shot upwards?

Air resistance can decrease the range of an arrow when shot upwards. As the arrow travels upwards, it will experience air resistance which will slow it down and cause it to fall back to the ground at a shorter distance.

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