You are on the steep edge of the Grand Canyon, which is miles deep. You fire an arrow at an 89-degree angle towards the canyon (nearly straight up, with no hope of reaching the other side) Describe the arrow’s trajectory, in particular noting approximately when the arrow has the most deceleration, the most acceleration, and then why the shift begins to happen. Cover all major points in the trajectory from initial shot to final resting place. When is the arrow moving fastest?
You want a thesis.
Thanks for responding! No but, an explanation? It's really confusing. :(
When an arrow is fired at an 89-degree angle towards the Grand Canyon, its trajectory follows a parabolic path. Let's break down the trajectory into different phases and identify the points of maximum acceleration, deceleration, and when the arrow is moving fastest.
1. Launch: Initially, when the arrow is shot, it moves vertically upward due to the force from the bow. This phase is characterized by acceleration until it reaches its maximum height.
2. Ascending: As the arrow continues on its path, it slows down due to the force of gravity acting against its upward motion. The arrow's speed decreases until it reaches its peak height.
3. Peak Height: At this point, the arrow momentarily stops moving upward and starts to descend. It has reached its maximum height, and its speed is momentarily zero. This marks the transition from upward motion to downward motion.
4. Descending: The arrow starts descending under the influence of gravity, gaining speed as it falls. The speed of the arrow continues to increase until it reaches its maximum velocity (fastest speed), which occurs when it is close to the Grand Canyon's depths.
5. Deceleration: Eventually, the arrow reaches its terminal velocity, which is the maximum speed it can attain due to the opposing force of air resistance. As it continues to descend, the arrow experiences deceleration due to the increasing effect of air resistance.
6. Landing: The arrow eventually reaches the bottom of the Grand Canyon and comes to a complete stop. At this point, it has zero velocity, having returned to rest.
To summarize, the arrow experiences the most deceleration as it reaches the bottom of the Grand Canyon, shortly before coming to a stop. The most acceleration occurs during the descending phase when it is gaining speed while falling. The arrow moves fastest when it is close to the depths of the canyon during its descent.