Question

Stefan travels at a speed of 102 kilometers per hour. What is his speed in inches per second? (Note: 1 meter = 39.37 inches)

a) 2524.74 inches per second
b) 4157.74 inches per second
c) 60.83 inches per second
d) 1.64 inches per second

Answer 1

b) 4157.74 inches per second. To convert Stefan's speed from kilometers per hour to inches per second, we need to use conversion factors. First, convert kilometers to meters by multiplying by 1000. Then, convert meters to inches by multiplying by 39.37. Finally, divide by 3600 to convert from hours to seconds. Applying these steps, Stefan's speed is approximately 4157.74 inches per second.

Step-by-step explanation:

To convert the speed from kilometers per hour to inches per second, we need to use the equivalent conversion factors. First, we convert kilometers to meters by multiplying the speed by 1000, since there are 1000 meters in a kilometer. Then, we convert meters to inches by multiplying the speed by 39.37, since 1 meter is equal to 39.37 inches. Finally, we divide the speed by 3600 to convert from hours to seconds. Applying these steps to Stefan's speed, we get:

102 km/h * 1000 m/km * 39.37 in/m / 3600 s/h = 4157.74 inches per second.

Therefore, Stefan's speed is approximately 4157.74 inches per second.