at summer camp, kristen shoots a bow and arrow. she holds the arrow at eye level and takes aim at the…

at summer camp, kristen shoots a bow and arrow. she holds the arrow at eye level and takes aim at the target. her arrow flies into the air and hits the target at about eye level. the arrow sticks in the target. which graph could show the arrows height above the ground over time?

at summer camp, kristen shoots a bow and arrow. she holds the arrow at eye level and takes aim at the target. her arrow flies into the air and hits the target at about eye level. the arrow sticks in the target. which graph could show the arrows height above the ground over time?

Answer

Answer:

The fourth graph (the one with a smooth parabolic - like curve starting and ending at about the same height).

Explanation:

Step1: Analyze the motion

The arrow is shot from eye - level, goes up (due to initial velocity), reaches a maximum height (where the vertical component of velocity is zero), then comes down (due to gravity) and hits the target at about eye - level.

Step2: Rule out other graphs

  • The first graph has a linear increase and then linear decrease with a flat part. In reality, the motion of a projectile (the arrow) is a smooth curve (parabolic in the absence of air - resistance, and still a smooth curve with air - resistance) not a combination of linear segments.
  • The second graph has a non - symmetric shape with a long flat part and then a small decrease. This does not match the projectile motion which should have an ascent and a descent.
  • The third graph starts at a non - zero height (not eye - level as per the problem description if we assume the initial height is the reference eye - level).
  • The fourth graph has a smooth curve that starts at a certain height (eye - level), rises to a maximum, and then falls back to approximately the same height (eye - level where the target is), which is consistent with the motion of a projectile (the arrow) under the influence of gravity.