Question

The world speed record on water was set on October 8, 1978 by Ken Warby ofBlowering Dam, Australia. If Ken drove his motorboat a distance of 1000. m in7.045 s, how fast was his boat moving a) in m/s? And in mi/h?

Answer 1

141.94 m/s

317.5 mi/h

Step-by-step explanation:

The speed of the boat can be calculated as the distance traveled divided by time. If the distance was 1000 m in 7.045 s, the speed in m/s is equal to

`v=\frac{1000\text{ m}}{7.045\text{ s}}=141.94\text{ m/s}`

To calculate the speed in mi/h, we first need to convert 1000 m to mi and 7.045 s to hours as follows

`1000\text{ m}*\frac{1\text{ mi}}{1609.34\text{ m}}=0.621\text{ mi}`
`7.045\text{ s}*\frac{1\text{ hour}}{3600\text{ s}}=0.0019\text{ hours}`

Then, we can calculate the speed in mi/h by dividing 0.621 mi by 0.0019 hours, so

`v=\frac{0.621\text{ mi}}{0.0019\text{ h}}=317.5\text{ mi/h}`

Therefore, the answers are

141.94 m/s

317.5 mi/h