Dear student,
Please find the attached solution to your problem below.
Consider these velocities on an x-y plane with vectors i and j (+i = East, -i = West, +j = North, -j = South):
initial velocity = 50j.
final velocity = -50i.
change in velocity (Δv) = final velocity – initial velocity = -50i -50j
and -i direction (west) and -j direction (south), so the total change in velocity will be pointing towards the southwest.
|Δv| = √[(-50)² + (-50)²]
|Δv| = 70.7 km/h
Hence, 70 km/h towards south – west will be the correct option.
Thanks and regards,
Kushagra