Question

if two runners take the same amount of time to run a mile, they have the same ______.
a. acceleration
b. force
c. mass
d. velocity

please select the best answer from the choices provided.

○ a
○ b
○ c
○ d

Explanation:

To solve this, we analyze each option:

• Option A: Acceleration is the rate of change of velocity. Running a mile in the same time doesn't imply the same acceleration, as acceleration relates to changes in speed or direction, not just total time for a fixed distance.
• Option B: Force depends on mass and acceleration (from Newton's second law \( F = ma \)). The time to run a mile doesn't directly relate to force, as force isn't determined by just distance and time.
• Option C: Mass is a measure of the amount of matter in an object. The time taken to run a mile has no direct relation to an object's mass.
• Option D: Velocity (in the context of average velocity for this problem, since we're dealing with a fixed distance and time) is calculated as \( v=\frac{d}{t} \), where \( d \) is distance and \( t \) is time. If two runners run the same distance (a mile) in the same time, their average velocity (speed in a direction, but for a straight - line mile, speed is a good approximation) will be the same.

Answer:

D. velocity