In this lesson, we will learn how to use vector operations to solve various real-world problems.

Students will be able to

Q1:

A police car was moving along a horizontal highway at 47 km/h. It used a radar to measure the speed of a truck moving in the same direction. Given that the reading on the radar was 50 km/h, determine the actual speed of the truck.

Q2:

A truck moved 150 km due east and then 200 km at a direction of 60∘. Determine the truck’s displacement, giving its magnitude to the nearest kilometre and its direction to the nearest minute.

Q3:

Two cars are moving on the same straight road with velocities of 87 km/h and 85 km/h, respectively. Given that e is a unit vector in the direction of movement of the first car, determine the relative velocity of the first car relative to the second, given that both cars are moving in the same direction.

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