Question

A bird flies straight northeast a distance of 75.8 km for 3.5 h. With the x-axis due east and the y-axis due north, what is the displacement (in km) in unit vector notation for the bird

Answer 1

`53.6\,i+53.6\,j`

Step-by-step explanation:

The mathematical notation for the displacement vector R is given by

`R \,\cos \theta \,i+R \,\sin\theta\,j`

Now a bird flies straight northeast a distance of 75.8 km for 3.5 h such that x-axis points towards east and the y-axis points towards north.

Put
`R=75.8` and
`\theta =45`
`75.8 \,\cos 45\° \,i+75.8 \,\sin45\°\,j=(75.8)/(√(2) ) i+(75.8)/(√(2) ) j=53.6\,i+53.6\,j`

Therefore,

Displacement vector is given by