Add the following vectors and determine the resultant. 3.0m/s, 45 deg and 5.0m/s, 135 deg

The resultant of Vectors having 3.0m/s, 45 deg and 5.0m/s, 135 deg is .

Explanation:

We have ,  two vectors with specified direction and magnitude. A vector is a quantity which has both magnitude & direction. Vector 1 has magnitude of 3 and direction of 45° whereas vector 2 has magnitude of 5 and direction of 135°.

∴ Resultant of both vectors is :

r =  a + b

Resultant angle between two vectors is : 135°- 45° = 90°, cos90°=0

⇒

∴ Resultant of above two vectors is .

truck y has a greater velocity than truck x.