Problemas
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.
Roztwór
Gael
veterano · Tutor durante 11 años
4.7
(172 Votos)
Respuesta
The truck takes approximately 6.19 seconds to fully stop.
Explicación
## Step 1The 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.## Step 2The 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.## Step 3The 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.## Step 4The 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.###
## Step 5Now, 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.### \{Time} = \frac{500 \, \text{ft}}{80.67 \, \text{ft/s}} = 6.19 \, \text{seconds}\)