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.