Question

The velocity of a particle in reference frame A is (2.0ˆi+3.0ˆj)m/s. The velocity of reference frame A with respect to reference frame B is 4.0ˆkm/s, and the velocity of reference frame B with respect to C is 2.0ˆjm/s. What is the velocity of the particle in reference frame C?

a) (6.0ˆi + 5.0ˆj) km/s
b) (8.0ˆi + 3.0ˆj) km/s
c) (6.0ˆi + 1.0ˆj) km/s
d) (2.0ˆi + 7.0ˆj) km/s

Answer 1

The velocity of the particle in reference frame C is (6.0ˆi + 5.0ˆj) km/s. So, the correct option is a).

Step-by-step explanation:

To find the velocity of the particle in reference frame C, we need to add the velocities in each frame of reference. The velocity of reference frame A with respect to reference frame B is given as 4.0ˆkm/s. The velocity of reference frame B with respect to reference frame C is given as 2.0ˆjm/s.

Therefore, the velocity of the particle in reference frame C is (2.0ˆi + 3.0ˆj) + (4.0ˆi + 2.0ˆj) = 6.0ˆi + 5.0ˆj km/s. So, the correct option is a) (6.0ˆi + 5.0ˆj) km/s.