Step-by-step explanation:
ww have that 90 miles /2 hours is given and we are asked to find it in feet per second.
[tex] \frac{90 \: mi}{2 \: hrs} \times \frac{5280 \: ft}{1 \: mi} \times \frac{1 \: hr}{60 \: min} \times \frac{1 \: min}{60 \: sec} = 66[/tex]
So we get
66 fps.
2.
[tex] \frac{120 \: miles}{8 \: hours} \times \frac{5280}{1 \: mile} \times \frac{1 \: hour}{60 \: min} \times \frac{1 \: min}{60 \: seconds} = 22[/tex]
So we get 22 fps.
Extra credit There is 5 people and 2 hands so we use the combinations formula.
n!/r!(n-r)!. where n is the number of objects (the number of people) and r is the things taken at the time( the hands)
Subsitue
[tex] \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 3 \times 2 \times 1} [/tex]
[tex] \frac{20}{2} = 10[/tex]
