Question

A truck is traveling due north at 50 km/hr approaching a crossroad. On a perpendicular road a police car is traveling west toward the intersection at 45 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.

Answer 1

Answer:$45\hat{i}+50\hat{j}$

Explanation:

Truck velocity=50 km/hr

police car velocity =45 km/hr

Let they start at t=0 s

After one hour

truck displacement$=50\times 1=50 km$

In vector Form$(r_1)=50\hat{j}$

For Police car displacement$=45\times 1=45 km$

in vector form$(r_2)=-45\hat{i}$

$r_{12}=50\hat{j}-(-45\hat{i})$

$r_{12}=45\hat{i}+50\hat{j}$