A typical maximum speed for a unicycle is about 5 mph. While riding his giraffe unicycle, Mike accelerates from rest to the typical maximum speed in 2.5 s. How far does Mike tra…

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asked Jan 4, 2021 154k views

1 Answer

Fitzchak Yitzchaki · Answer 1 · 2021-01-10T02:53:00+0000

Answer:

$s = 9.167\,ft$

Step-by-step explanation:

Converting units into fundamental units is the first step. The maximum speed is:

$v_(f) = (5\,(mi)/(h) )\cdot ((5280\,ft)/(1\,mi) )\cdot ((1\,h)/(3600\,s) )$

$v_(f) = 7.333\,(ft)/(s)$

Let assume that Mike accelerates at a constant rate. Hence, accelaration is obtained from this formula:

a = (v_(f))/(t)

$a = (7.333\,(ft)/(s) )/(2.5\,s)$

$a = 2.933\,(m)/(s^(2))$

Then, distance travelled by the unicycle can be found easily:

$s = ((7.333\,(m)/(s) )^(2))/(2\cdot (2.933\,(m)/(s^(2)) ))$

$s = 9.167\,ft$