---
title: Aircraft Carrier
topic: Kinematics(2D and 3D)
author: Jake Bobowski
source: 2014 Midterm 1 Q6
template_version: 1.3
attribution: standard
partialCredit: true
singleVariant: false
showCorrectAnswer: false
outcomes:
- 5.8.1.3
difficulty:
- medium
randomization:
- 2
taxonomy:
- undefined
span:
- section
length:
- average
tags:
- MP
assets:
- Q5.png
part1:
type: symbolic-input
pl-customizations:
label: $v= $
variables: i_hat, j_hat
weight: 1
allow-blank: false
myst:
substitutions:
params:
vars:
title: Aircraft Carrier
va: 220
vb: 159
---
# {{ params.vars.title }}
Plane A takes off with a velocity of $\vec{v_A}$ = ({{ params.va }} $km/h$)$\hat{\imath}$ relative to the aircraft carrier. On a second runway which is directed 30$^{\circ}$ away from the $x$-axis, plane B has a speed of {{ params.vb }} $km/h$ relative to the aircraft carrier.
| For | Use |
|----------|-------|
| $\hat{i}$ | i_hat |
| $\hat{j}$ | j_hat |
## Part 1
What are the x- and y-components of the velocity of plane A as measured by the pilot of plane B?
Your answer should be of the form `100*i_hat -50*j_hat` since it's a symbolic question, it won't resolve the math for you so round the x and y components to the nearest integer.
### Answer Section
## Attribution
Problem is licensed under the [CC-BY-NC-SA 4.0 license](https://creativecommons.org/licenses/by-nc-sa/4.0/).

![The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.](https://raw.githubusercontent.com/firasm/bits/master/by-nc-sa.png)