Question

The velocity of a particle in reference frame A is

(5.0î + 5.0ĵ) m/s.
The velocity of reference frame A with respect to reference frame B is 6.0 m/s, and the velocity of reference frame B with respect to C is 4.0ĵ m/s. What is the velocity of the particle (in m/s) in reference frame C? (Express your answer in vector form.)

Answer 1

The velocity of the particle in reference frame C is 11.0î + 9.0ĵ m/s.

Step-by-step explanation:

To find the velocity of the particle in reference frame C, we need to calculate the velocity of reference frame A relative to reference frame C. We can do this by adding the velocities: velocity of reference frame A + velocity of reference frame B.

The velocity of reference frame A with respect to reference frame B is given as (6.0 m/s) in the question. The velocity of reference frame B with respect to reference frame C is given as (4.0ĵ m/s) in the question.

So, the velocity of the particle in reference frame C would be (5.0î + 5.0ĵ) m/s + (6.0 m/s) + (4.0ĵ m/s) = 11.0î + 9.0ĵ m/s.