Usain Bolt temporarily reached a speed of 27.5 miles/hour in the middle of his 2009 world record breaking 100m sprint! How fast is this in feet/second? (Round your answer to at least 2 decimal places.)
Type your answer...
Next

40.33 feet per second

Step-by-step explanation:

27.5 x 1.46 (because 1mph = 1.46 feet per second)

= 40.33

40.33

Step-by-step explanation:

Miles to feet = times by 5280

so 27.5 x 5280 = 145200 feet per hour

145200/hour = 145200/ 60min

145200/60 min = 2420/1min

2420/1min = 2420/60second

2420/60second = 40.33/1second

9514 1404 393

  108.8 km/h at 84.3°

Step-by-step explanation:

The law of cosines can be used to find the resultant ground speed. In the attached diagram, the length of interest is OR. It will be found as ...

  OR² = OP² +PR² -2·OP·PR·cos(P)

  OR² = 130² +26² -2×130×26×cos(32°) ≈ 11843.19

  OR = √11843.19 ≈ 108.8

__

The angle POR can be found from the law of sines.

  sin(POR)/PR = sin(OPR)/OR

  sin(POR) = PR/OR×sin(32°) ≈ 0.12660

  ∠POR ≈ arcsin(0.12660) ≈ 7.27°

Then the bearing of the ground track of the airplane is 77° +7.27° = 84.27°.

The airplane is traveling at about 108.8 km/h on a bearing of 84.3°.