A billiard ball travels 22 cm in the positive direction, hits the cushion and rebounds in the negative direction, and finally comes to rest 7.5 cm behind its original position.
distance: 22+22+7.5cm
displacement: -7.5cm
i need to find distance and displacement
d =
29.5cm
ANSWER 2: Deduction: -3%
d =
22cm
ANSWER 3: Deduction: -3%
d =
32.5cm
ANSWER 4: Deduction: -3%
d =
14.5cm
To solve this problem, let's break it down step by step.
Step 1: Determine the initial position
The billiard ball travels 22 cm in the positive direction before hitting the cushion. Therefore, its initial position is +22 cm.
Step 2: Determine the final position
After rebounding, the ball comes to rest 7.5 cm behind its original position. Since the original position is +22 cm, coming to rest 7.5 cm behind means the final position is +22 cm - 7.5 cm = +14.5 cm.
Step 3: Calculate the displacement
The displacement is the change in position, which is the difference between the final position and the initial position. In this case, the displacement is +14.5 cm - (+22 cm) = -7.5 cm.
Step 4: Analyze the motion
The ball starts at +22 cm, moves in the positive direction, then rebounds and moves in the negative direction until it comes to rest at +14.5 cm. The motion can be represented as follows: +22 cm -> +14.5 cm.
Step 5: Interpret the results
The negative displacement (-7.5 cm) indicates that the ball has moved in the opposite direction from its original path. It has traveled a net distance of 7.5 cm in the negative direction.
That's how you can solve the problem by analyzing the motion and calculating the displacement.