At 55 mph, how long does it take for a truck to fully stop?p? exactly 500 ft. about 40 ft. about 240 ft. about 400 ft.

## Step 1<br />The problem involves the calculation of the stopping distance of a truck moving at a speed of 55 mph. The stopping distance is the total distance a vehicle travels while stopping, which includes the thinking distance and the braking distance.<br /><br />## Step 2<br />The thinking distance is the distance a vehicle travels in the time it takes for the driver to react to a situation. The braking distance is the distance it takes for the vehicle to stop once the driver has reacted.<br /><br />## Step 3<br />The total stopping distance is the sum of the thinking distance and the braking distance. In this case, the total stopping distance is given as 500 feet.<br /><br />## Step 4<br />The speed of the truck is given as 55 mph. To compare this with the stopping distance, we need to convert the speed to feet per second. We know that 1 mile is equal to 5280 feet and 1 hour is equal to 3600 seconds. Therefore, we can convert 55 mph to feet per second by multiplying 55 by 5280 and dividing by 3600.<br /><br />### \(55 \, \text{mph} = \frac{55 \times 5280}{3600} \, \text{ft/s} = 80.67 \, \text{ft/s}\)<br /><br />## Step 5<br />Now, we can calculate the time it takes for the truck to stop by dividing the total stopping distance by the speed of the truck in feet per second.<br /><br />### \{Time} = \frac{500 \, \text{ft}}{80.67 \, \text{ft/s}} = 6.19 \, \text{seconds}\)