To determine whether the Rocket Sled’s speed of 10,326 kilometers per hour is faster or slower than the Autonomous Drone, I first converted the Rocket Sled's speed into scientific notation.
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The first step in converting 10,326 into scientific notation is to identify the significant figures. The first non-zero digit in 10,326 is 1, which is in the thousands place. To express this in scientific notation, I need to move the decimal point to the right of the first digit. This gives me 1.0326. Next, I must account for the number of places the decimal has moved; in this case, the decimal moved three places to the left. Hence, I multiply by 10 raised to the power of 4, because the original number is greater than 1, with the exponent reflecting the magnitude. Therefore, the scientific notation for the speed of the Rocket Sled is \( 1.0326 \times 10^4 \) kilometers per hour.
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The scientific notation for the Rocket Sled's speed is \( 1.0326 \times 10^4 \) km/h.
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To compare the speed of the Rocket Sled to that of the Autonomous Drone, I must know the Drone's speed. For example, if the speed of the Autonomous Drone is known to be 15,000 kilometers per hour, I can compare the two speeds by looking at their values. Since \( 1.0326 \times 10^4 \) is equal to 10,326, I observe that 10,326 km/h is indeed slower than 15,000 km/h. If the Drone's speed is provided, I would directly compare the numerical values: since the digit sequence of 10,326 is smaller than that of any speed greater than 10,326, I can confidently conclude that the Rocket Sled is slower. Conversely, if the Autonomous Drone's speed were 8,000 km/h, then by comparison, the Rocket Sled would be faster. Therefore, the comparison of the speeds allows me to determine which is faster or slower based on their numerical values.
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