Question

A car is driving directly north on the freeway at a speed of 91 km/h and a truck is leaving the freeway driving 56 km/h in a direction that is 28° west of north. What is the velocity of the truck relative to the car? Please report the answer with a positive angle.

Answer 1

v = 49.69 km/hr

Step-by-step explanation:

velcoity of truck with respect to car is given as = velocity of truck - velocity of car

velcoity of truck with respect to car is given as = (-54 sin(28)i +54cos(28)j - 91km/h

= -24.35i - 43.32j

magnitude of velocity is

`v = √( 24.35^2+43.32^2)`

v = 49.69 km/hr

the direction is

`tan^(-)[( 43.32)/(24.35)]`

= 60.65 degree towrd south of west