One object moves directly from P to R.PRQIn a shorter time, a second object moves from P to Q to R.Which statement about the two objects is correct for the journey from P to R?A They have the same average speed.B They have the same average velocity.C They have the same displacement.D They travel the same distance.
Question
One object moves directly from P to R.PRQIn a shorter time, a second object moves from P to Q to R.Which statement about the two objects is correct for the journey from P to R?A They have the same average speed.B They have the same average velocity.C They have the same displacement.D They travel the same distance.
Solution
The correct statement about the two objects for the journey from P to R is C. They have the same displacement.
Here's why:
A. They have the same average speed - This is incorrect. Speed is distance over time. The second object took a longer path (P to Q to R), so even if it was a shorter time, it's not guaranteed to have the same average speed.
B. They have the same average velocity - This is incorrect. Velocity is displacement over time. Even though the displacement (P to R) is the same for both, the time taken is not. The second object took a shorter time, so its average velocity would be higher.
C. They have the same displacement - This is correct. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position. Both objects moved from P to R, so their overall change in position (displacement) is the same.
D. They travel the same distance - This is incorrect. The first object moved directly from P to R, while the second object moved from P to Q to R. Therefore, the second object traveled a greater distance.
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