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A vehicle travels at 50 mi/hr for 3 hours, then at 25 mi/hr for 30 minutes. Determine the average velocity of the driver in feet per second.

(Note: 1 mile = 5280 feet, 1 hour = 3600 seconds)

Answer :

The average velocity of the driver is 80.7 fps. The result is obtained by dividing the displacement by the change in time.

What is average velocity?

Average velocity is the displacement or change in position of an object (∆x) divided by the change in time (∆t). It can be expressed as

V avg = Δx/Δt

Where

  • V avg = average velocity
  • Δx = displacement
  • Δt = change in time

The formula of position can be counted as

x = vt

A vehicle travels at

  • v₁ = 50 mph
  • t₁ = 3 h
  • vâ‚‚ = 25 mph
  • tâ‚‚ = 30 minutes = 0.5 h

Find the average velocity in feet per second!

We find the position x₁ and x₂.

x₁ = v₁t₁ = 50(3) = 150 mile

xâ‚‚ = vâ‚‚tâ‚‚ = 25(0.5) = 12.5 mile

The average velocity would be

V avg = Δx/Δt

V avg = (x₁ - x₂)/(t₁ - t₂)

V avg = (150 - 12.5)/(3 - 0.5)

V avg = 137.5/2.5

V avg = 55 mph

V avg = 55 × 5280/3600 fps

V avg = 80.7 fps

Hence, the average velocity of the vehicle is 80.7 feet per second.

Learn more about average velocity here:

brainly.com/question/12322912

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Rewritten by : Jeany

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