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 inters

Question

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.

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Trúc Chi 4 years 2021-07-22T00:25:16+00:00 1 Answers 29 views 0

Answers ( )

  1. diemthu
    0
    2021-07-22T00:26:41+00:00
    Reply

    Answer:

    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

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