Question

two soccer players kick a soccer ball back and forth along a straight line. the first player kicks the ball 12 m to the right to the second player. the second player kicks the ball to the left weakly; it only moves 2.5 m before stopping. (consider the right to be the positive direction. where applicable, indicate the direction with the sign of your answer.) (a) what is the total distance that the ball moved? \boxed{} m (b) at the end, what is the displacement of the ball (from the first player)? \boxed{} m

Explanation:

Part (a)

Step1: Identify distances

First distance (right): \( 12 \, \text{m} \), second distance (left): \( 2.5 \, \text{m} \).

Step2: Sum distances for total

Total distance = \( 12 + 2.5 \)
\( = 14.5 \)

Step1: Define displacements

Right (positive): \( +12 \, \text{m} \), left (negative): \( -2.5 \, \text{m} \).

Step2: Calculate net displacement

Displacement = \( 12 + (-2.5) \)
\( = 9.5 \)

Answer:

\( 14.5 \)

Part (b)