Question

If a box car racer is traveling at 23.6 miles per hour on a downhill track, how many seconds will it take for the racer to travel 20 meters

Answer 1

It will take the racer 1.9 s.

Speed is defined as the distance travelled per unit time. Mathematically, it is expressed as:

$Speed = \frac{Distance }{Time}$

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

Time =?

$Speed = \frac{Distance }{Time } \\\\10.5492 = \frac{20}{Time}$

Cross multiply

10.5492 × time = 20

Divide both side by 10.5492

$Time = \frac{20}{10.5492 }$

Time = 1.9 s

Therefore, it will take 1.9 s for the racer to travel a distance of 20 m.

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