Question

At 10 am a ship is at location S, position vector (−6 i − 3 j) km, and is moving with velocity (2 i − 9 j) km/h. If the ship continues with this velocity what will be its position vector at 4 pm? position vector (km) =

Answer 1

`6bbi-57bbj`

Explanation:

We are given position of ship at the start:

`bbs=-6bbi-3bbj`

And the velocity vector:

`bbv=2bbi-9bbj`

10am to 4pm is a duration of 6 hours.

Since the velocity vector is km/h, we multiply the velocity vector by 6:

`6(2bbi-9bbj)=12bbi-54bbj`

New position vector of the ship is:

`bbs+6bbv=-6bbi-3bbj+12bbi-54bbj=6bbi-57bbj`