Question

Which runner has the higher velocity?

Runner #38

Distance: 3.2 miles

Time: 24 minutes, 28 seconds



Runner #103

Distance: 3.2 miles

Time: 24 minutes, 22 seconds

Question 47 options:

Runner #38


Runner #103


They have the same velocity


None of the above

Answer 1

They have the same velocity.

Step-by-step explanation:

In order to know the answer, we have to consider using the formula for "velocity."

Velocity refers to the speed that an object has according to a given direction.

• Velocity Formula = v =
  `(displacement)/(time)`

1. We'll have to get the velocity of Runner #38 first.

displacement = 3.2 miles

time= 24 minutes, 28 seconds

Let's convert 28 seconds to minutes: 28 sec. ×
`(1 min)/(60 sec)` = 0.47 minutes

So, 24 minutes, 28 seconds is the same with 24.47 minutes

Let's compute for the velocity.

v =
`(3.2 miles)/(24.47 minutes)` = 0.13
`(miles)/(minute)` (this is the velocity of Runner #38)

2. Next, we have to get the velocity of Runner #103 in order to compare them.

displacement = 3.2 miles

time = 24 minutes, 22 seconds

Let's covert 22 seconds to minutes: 22 sec. ×
`(1 minute)/(60 seconds)` = 0.37 minutes

So, 24 minutes, 22 seconds is the same with 24.37 minutes

Let's compute for the velocity.

v =
`(3.2 miles)/(24.37 minutes)` = 0.13
`(miles)/(minute)` (this is the velocity of Runner #103)

Thus, we can conclude that "they have the same velocity."