A truck is traveling due north at 75 km/hr approaching a crossroad. On a perpendicular road a police car is traveling west toward the intersection at 80 km/hr. Both vehicles will reach the crossroad in exactly one hour. Find the vector currently representing the displacement of the truck with respect to the police car.

109.66km

Explanation:

Velocity is defined as the change in displacement of a body with respect to time.

Velocity = displacement/Time

Displacement = velocity * time

A truck is traveling due north at 75 km/hr approaching a crossroad and perpendicular road a police car is traveling west toward the intersection at 80 km/hr, then the resultant velocity is gotten using the pythagoras theorem since they are both perpendicular to each other.

v² = 75²+80²

v² = 5625+6400

v² = 12,025

v = √12,025

v = 109.66km/hr

If both vechicles reaches cross road in exactly one hour, the displacement of the truck with respect to the police car =  109.66km/hr * 1 hour

Displacement of the truck with respect to the police car = 109.66km