Speed is defined as the distance travelled per unit time. Mathematically, it is expressed as:
[tex]Speed = \frac{Distance }{Time}[/tex]
To solve the question given above, we'll begin by converting 23.6 miles per hour to metre per second (m/s). This can be obtained as follow:
1 mph = 0.447 m/s
Therefore,
23.6 mph = 23.6 × 0.447
23.6 mph = 10.5492 m/s
Thus, 23.6 mph is equivalent to 10.5492 m/s
Finally, we shall determine the time taken for the racer to travel 20 m. This can be obtained as follow:
Speed = 10.5492 m/s
Distance = 20 m
[tex]Speed = \frac{Distance }{Time } \\\\10.5492 = \frac{20}{Time}[/tex]
Cross multiply
10.5492 × time = 20
Divide both side by 10.5492
[tex]Time = \frac{20}{10.5492 } \\[/tex]
Therefore, it will take 1.9 s for the racer to travel a distance of 20 m.
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