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How far in front of your house does the package land

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Reference no: EM131002696

Suppose you ordered something from Amazon and a drone delivered it. while the drone was just in front of your doorstep, it accidently dropped the package from 60 feet. the parabolic trajectory of the package followed the equation below. sketch the curve.

f(x) = 60 - (1/15)x2

a) How far in front of your house does the package land?

b) Set up an integral for the length of the path traveled by the package.

c) The integration requires trig substitution and you should end up integration sec3x. but you know the package travels more than ______ feet. the question is "did your order break?" so we will find the impact velocity.

d) Using the equation s(t)= -16t2 +vt+s , with v=0 we get s(t)=-16t2+60. find how long it takes the package to hit the ground and the impact velocity.

Reference no: EM131002696

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