If a car is traveling at 20 mph, how far does it move in 3/4 of a second?

To determine how far a car traveling at 20 mph covers in 3/4 of a second, it's essential to first convert the speed into a more manageable unit such as feet per second.

First, we need to know how many feet are in a mile and how many seconds are in an hour:

• There are 5,280 feet in a mile.

• There are 3,600 seconds in an hour.

Now, to convert 20 miles per hour to feet per second:

[

20 \text{ miles/hour} \times \frac{5,280 \text{ feet/mile}}{3,600 \text{ seconds/hour}} = \frac{105,600 \text{ feet}}{3,600 \text{ seconds}} = 29.33 \text{ feet/second}.

]

Next, we calculate the distance traveled in 3/4 of a second:

[

29.33 \text{ feet/second} \times \frac{3}{4} \text{ second} = 29.33 \times 0.75 \approx 22 \text{ feet}.

]

This calculation shows that the vehicle moves approximately 22 feet in 3/4 of