A car is traveling at a speed of 63 miles per hour. What is the car's speed in feet per second? How many feet will the car travel in 10 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answer

The car traveled at a rate of 92.4 feet/second.

Over a 10 second span, the car will travel 924 feet.

Step-by-step explanation:

Given that the car is moving at a speed of 63 miles/hour and we wish to know the speed in feet per second, we will set up a sequence of proportions to properly convert our measurements.

Given that there are 5,280 feet in a mile and 3600 seconds in an hour, we can make these conversions.

((63 miles) / (1 hour)) * ((5,280 feet) / (1 mile)) * ((1 hour) / (3600 seconds))

Multiplying across the top, our numerator becomes

(63 miles) * (5,280 feet) * (1 hour)

332,640 mile*feet*hour

Multiplying across the bottom, our denominator becomes

(1 hour) * (1 mile) * (3600 seconds)

3600 hour*mile*second

We are then left with the proportion

(332,640 mile*feet*hour) / (3600 hour*mile*second)

Miles and hours will cancel out, giving us

92.4 feet/second

To find out how many feet the car will travel over a ten second span, we must multiply our distance over one second by 10.

92.4 * 10 = 924 feet over a 10 second time span.