Question

At a particular location, a hurricane's eye is moving with speed 41.8 km/h and in the direction 31.0° north of west. The hurricane keeps going at this velocity for 2.50 h, then changes direction, and heads due north. When its direction changes, it slows down to 24.8 km/h. It travels at this new velocity for 1.50 h. (Let I represent east and j represent north.) (a) Write the hurricane's initial velocity (in km/h) in unit-vector notation. km/h (b) Write the hurricane's final velocity (in km/h) in unit-vector notation. km/h (c) Write the hurricane's displacement (in km) during the first 2.50 hours. (Express your answer in vector form.) dirst 2.50 hours km (d) Write the hurricane's displacement (in km) during the last 1.50 hours. (Express your answer in vector form.) km last 1.50 hours (e) How far (in km) from its initial position is the eye after 4.00 hours have passed? km

Answer 1

We need to calculate components of each velocities in east and north direction. As initial direction is given in west so the i component will carry negative sign

please take care of negative sign before i component as i forgot first but wrote afterward