select the correct answer.\na basketball is rolling with a velocity of 0.5 meters/second relative to the…

select the correct answer.\na basketball is rolling with a velocity of 0.5 meters/second relative to the ground and due north. a tennis ball is rolling with a velocity of 0.25 meters/second relative to ground in the same direction of the basketball. find the velocity of the basketball relative to tennis ball.\na. 0.75 meters/second due north\nb. 0.25 meters/second due south\nc. 0.25 meters/second due north\nd. 0.1 meters/second due north\ne. 1.25 meters/second due south

select the correct answer.\na basketball is rolling with a velocity of 0.5 meters/second relative to the ground and due north. a tennis ball is rolling with a velocity of 0.25 meters/second relative to ground in the same direction of the basketball. find the velocity of the basketball relative to tennis ball.\na. 0.75 meters/second due north\nb. 0.25 meters/second due south\nc. 0.25 meters/second due north\nd. 0.1 meters/second due north\ne. 1.25 meters/second due south

Answer

Explanation:

Step1: Identify relative - velocity formula

The formula for relative velocity when two objects are moving in the same direction is $v_{AB}=v_A - v_B$, where $v_{AB}$ is the velocity of object A relative to object B, $v_A$ is the velocity of object A with respect to the ground, and $v_B$ is the velocity of object B with respect to the ground.

Step2: Assign values

Let the basketball be object A with $v_A = 0.5$ m/s (due north) and the tennis - ball be object B with $v_B=0.25$ m/s (due north).

Step3: Calculate relative velocity

$v_{AB}=0.5 - 0.25=0.25$ m/s. Since $v_A>v_B$ and they are moving in the north - direction, the direction of the relative velocity is due north.

Answer:

C. 0.25 meters/second due north