Illustration 3.24 A bird flies due east through a distance of100 m, th

1.	Illustration 3.24 A bird flies due east through a distance of100 m, then heading due north by a distance of 50 m, it fliesvertically up through a distance of 20 m. Find the position ofthe bird relative to its initial position.
Answer» Answer: $\hat{i}$ $\hat{j}$ $\hat{k}$ the position of the bird RELATIVE to its initial position is 100 + 50 + 20 m Explanation: Given data DISTANCE east = 100 m distance NORTH = 50 m distance vertical = 20 m to find out position of the bird solution we know bird first fly in east than north and then vertical up side so we consider here east is x axis i.e $\hat{i}$ , y is north axis i.e $\hat{j}$ and z is vertical up side i.e $\hat{k}$ we consider bird initial position is o and final position is R so final position are $\vec{R}$ = x $\hat{i}$ + y $\hat{j}$ + z $\hat{k}$ so put here x, y and z $\vec{R}$ = 100 $\hat{i}$ + 50 $\hat{j}$ + 20 $\hat{k}$ $\hat{i}$ $\hat{j}$ $\hat{k}$ so the position of the bird relative to its initial position is 100 + 50 + 20 m

Illustration 3.24 A bird flies due east through a distance of100 m, then heading due north by a distance of 50 m, it fliesvertically up through a distance of 20 m. Find the position ofthe bird relative to its initial position.

Answer»

Answer:

$\hat{i}$ $\hat{j}$ $\hat{k}$ the position of the bird RELATIVE to its initial position is 100 + 50 + 20 m

Explanation:

Given data

DISTANCE east = 100 m

distance NORTH = 50 m

distance vertical = 20 m

to find out

position of the bird

solution

we know bird first fly in east than north and then vertical up side

so we consider here

east is x axis i.e $\hat{i}$ , y is north axis i.e $\hat{j}$ and z is vertical up side i.e $\hat{k}$

we consider bird initial position is o and final position is R

so final position are $\vec{R}$ = x $\hat{i}$ + y $\hat{j}$ + z $\hat{k}$

so put here x, y and z

$\vec{R}$ = 100 $\hat{i}$ + 50 $\hat{j}$ + 20 $\hat{k}$

$\hat{i}$ $\hat{j}$ $\hat{k}$ so the position of the bird relative to its initial position is 100 + 50 + 20 m