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To calculate the distance traveled by the bus in feet per second, we need to convert the velocity from kilometers per hour to feet per second and determine the time interval the bus took to reach the destination.

First, let's convert the velocity from kilometers per hour to feet per second. We know that:

1 kilometer = 3280.84 feet 1 hour = 3600 seconds

So, to convert 80 kilometers per hour to feet per second:

80 km/h×3280.84 ft1 km×1 h3600 s=235.22 ft/s80 , ext{km/h} imes frac{3280.84 , ext{ft}}{1 , ext{km}} imes frac{1 , ext{h}}{3600 , ext{s}} = 235.22 , ext{ft/s}

Now, let's calculate the time interval between 7:45 am and 11:30 am.

7:45 am to 11:30 am is a total of 3 hours and 45 minutes.

Converting 45 minutes to hours: 45 min×1 h60 min=0.75 h45 , ext{min} imes frac{1 , ext{h}}{60 , ext{min}} = 0.75 , ext{h}

Adding the hours and minutes: 3 h+0.75 h=3.75 h3 , ext{h} + 0.75 , ext{h} = 3.75 , ext{h}

Now, we have the velocity of 235.22 ft/s and the time interval of 3.75 hours. To find the distance traveled, we can use the formula:

Distance = Velocity × Time

Distance=235.22 ft/s×3.75 h×3600 s1 hDistance = 235.22 , ext{ft/s} imes 3.75 , ext{h} imes frac{3600 , ext{s}}{1 , ext{h}}

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