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A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235
Chapter 3, Problem 35P(choose chapter or problem)
(III) A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. If the plane is traveling horizontally with a speed of 250 km/h (69.4 m/s), (a) how far in advance of the recipients (horizontal distance) must the goods be dropped (Fig. 3-37a)? (b) Suppose, instead, that the plane releases the supplies a horizontal distance of 425 m in advance of the mountain climbers. What vertical velocity (up or down) should the supplies be given so that they arrive precisely at the climbers’ position (Fig. 3-37b)? (c) With what speed do the supplies land in the latter case?
Figure 3-37
Questions & Answers
QUESTION:
(III) A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. If the plane is traveling horizontally with a speed of 250 km/h (69.4 m/s), (a) how far in advance of the recipients (horizontal distance) must the goods be dropped (Fig. 3-37a)? (b) Suppose, instead, that the plane releases the supplies a horizontal distance of 425 m in advance of the mountain climbers. What vertical velocity (up or down) should the supplies be given so that they arrive precisely at the climbers’ position (Fig. 3-37b)? (c) With what speed do the supplies land in the latter case?
Figure 3-37
ANSWER:Solution 35P
Step 1 of 3
Part a
We are required to calculate the horizontal distance between the plane and the climbers.
The horizontal speed is 69.4 m/s.
The vertical height is 235 m.
At the drop position,
Acceleration m/s2
We can calculate the time of the from the equation,
s
s
Therefore, the horizontal distance
m
m
Therefore, the required horizontal distance is 481 m.