- #1

Jennings

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**Hello everybody. Although this is just a kinematics problem, I am having a hard time figuring out what to do. The question is:**

An archer on the planet zorg spots an octomorph that is resting in a tree above water. The octomorph's position in the tree is 100m away horizontally and 100m vertically away from the bow of the archer. The archer shoots a quantum arrow at the creature with an initial speed of 100m/s, however, at the instant the arrow is fired, the octomorph drops straight out of the tree into the water below. If the acceleration of gravity on planet zorg is 98.1m/s^2 , in what direction should the archer aim his arrow if it is to hit the octomorph in stride on the way down?

An archer on the planet zorg spots an octomorph that is resting in a tree above water. The octomorph's position in the tree is 100m away horizontally and 100m vertically away from the bow of the archer. The archer shoots a quantum arrow at the creature with an initial speed of 100m/s, however, at the instant the arrow is fired, the octomorph drops straight out of the tree into the water below. If the acceleration of gravity on planet zorg is 98.1m/s^2 , in what direction should the archer aim his arrow if it is to hit the octomorph in stride on the way down?

## Homework Equations

y= -1/2g(t^2)+Voy(t) + yo

x= Vxt

## The Attempt at a Solution

I have figured out the position of the octomorph as a function of time : y=(-49.05m/s^2)t^2 + 100m

I have no idea how to make the arrow and octomorph reach the same position in the same time. We cannot simply set their equations equal to each other as the arrow has an x component to take into consideration. Any help or ideas will be greatly appreciated!