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Suppose that an airplane flying 60 m/s, at a height of 300m, dropped a sack of flour. How far from the point of release would the sack have traveled when it struck the ground? Where will the plane be in relation to the sack when the sack hits the ground? Illustrate your answer carefully using the grid provided.

Question
  1. Suppose that an airplane flying 60 m/s, at a height of 300m, dropped a sack of flour. How far from the point of release would the sack have traveled when it struck the ground? Where will the plane be in relation to the sack when the sack hits the ground? Illustrate your answer carefully using the grid provided. 



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Step 1

Consider the initial speed of sack be u, the initial speed of plane be v, the vertical displacement of the sack, that is, height be h, the time taken to struck the ground be t, the horizontal displacement be x, the distance of the plane from the sack when it struck the ground be s, and the acceleration due to the gravity be g.

 

Write the equation of motion, and solve for the time taken by the sack to struck the ground.

1
h ut gt
2
(300 m) (0)9.81 m/s)r
t 7.82 s
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1 h ut gt 2 (300 m) (0)9.81 m/s)r t 7.82 s

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Step 2

The horizontal displacement when it struc...

x =vt
(60 m/s)(7.82 s)
= 469.2 m
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x =vt (60 m/s)(7.82 s) = 469.2 m

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