Apackage is dropped from an airplane flying horizontally with constant speed v in the positive xdirection. the package is released at time t = 0 from a height h above the origin. in addition to the vertical component of acceleration due to gravity, a strong wind blowing from the right gives the package a horizontal component of acceleration of magnitude ¼g to the left. derive an expression for the horizontal distance d from the origin where the package hits the ground.

Explanation:

From the vertical movement, we know that initial speed is 0, and initial height is H, so:

   solving for t:

Now, from the horizontal movement, we know that initial speed is V and the acceleration is -g/4:

  Replacing values:

Simplifying:

a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be? a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be? a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be? a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be? a long strand of spaghetti is folded once. if this is cut 20 times, how many pieces of spaghetti will there be?

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