Answer :
The range of each amazon box is 1.6035m
According to the question we have been given that
height of the conveyer belt = 1.4m
Speed of the belt = 3m/s
We need to find the range of the amazon box, that is we have to find the distance.
Formula for distance is , d = speed * time
We have been given the value of speed we need to find the value of time. For that we will use the formula,
h = [tex]\frac{1}{2} g t^{2}[/tex]
where, h = height
g = acceleration due to gravity = 9.8m/s²
t = time
Putting the required value for t we get,
t = [tex]\sqrt{\frac{2h}{g} } \\[/tex]
= [tex]\sqrt{\frac{2(1.4)}{9.8} } \\[/tex]
= √0.286
= 0.5435 s
Putting the value of time in distance formula we get,
d = 3 * 0.5435 m
= 1.6035 m
Hence the range of each amazon box is 1.6035m
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