Question

94. While you are traveling in a car on a straight, level interstate highway at 90 km/h another car passes you in the same direction, its speedometer reads 120 km/h (a) What is your velocity relative to the other driver? (b) What is the other car's velocity relative to you?

Answer 1

a)
`v_{A_(B)}` = -30 m/s

b)
`v_{B_(A)}` = 30 m/s

Step-by-step explanation:

a)

Consider the car A travel at a velocity of
`v_(A)` = 90 km/h and the car B travel at the velocity of
`v_(B)` = 120 km/h. As the velocity of the car B is greater than the car A, So it cross the car A. Consider The velocity of car A relative to car B is
`v_{A_(B)}` and it is equal to the velocity of car A minus the velocity of car B.

`v_{A_(B)}` =
`v_(A)` -
`v_(B)`

`v_{A_(B)}` = 90 - 120

`v_{A_(B)}` = -30 m/s

b)

Consider The velocity of car B relative to car A is
`v_{B_(A)}` and it is equal to the velocity of car B minus the velocity of car A.

`v_{B_(A)}` =
`v_(B)` -
`v_(A)`

`v_{B_(A)}` = 120 - 90

`v_{B_(A)}` = 30 m/s