contestada

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

Respuesta :

Answer:

They have the same velocity.

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 = [tex]\frac{displacement}{time}[/tex]

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. × [tex]\frac{1 min}{60 sec}[/tex] = 0.47 minutes

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

Let's compute for the velocity.

v = [tex]\frac{3.2 miles}{24.47 minutes}[/tex] = 0.13 [tex]\frac{miles}{minute}[/tex] (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. × [tex]\frac{1 minute}{60 seconds}[/tex] = 0.37 minutes

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

Let's compute for the velocity.

v = [tex]\frac{3.2 miles}{24.37 minutes}[/tex] = 0.13 [tex]\frac{miles}{minute}[/tex] (this is the velocity of Runner #103)

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

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