3. A woman in a hot air balloon drops her GoPro Hero 10 when the balloon is 175 ft abovethe ground and rising at the rate of 12 ft/sec. (a) How long will it take the GoPro to reachthe ground, and (b) with what speed will it strike the ground?

Answered: Image /qna-images/answer/07ad977a-483a-4fcc-aa11-3e0d9589f5ab.jpg

Answered: 3. A woman in a hot air balloon drops…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base with a speed of 24 ft/s. 90 ft (a) At what rate (in ft/s) is his distance from second base decreasing when he is halfway to first base? (Round your answer to one decimal place.) -8 X ft/s (b) At what rate (in ft/s) is his distance from third base increasing at the same moment? (Round your answer to one decimal place.) 13 X ft/s
A street light is at the top of a 26 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 8 ft/sec. At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 39 ft away from the pole? Answer: How fast is her shadow lengthening? Answer:
Our heroine is trapped in a rectangular room that is 10 feet by 16 feet, with a ceiling that is 9 feet above the floor. The room is filling with water at a rate of 60 cubic feet per minute. When the water reaches a depth of 5.5 feet, how fast is the water rising? (V = LWH)
The area of a square is increasing at the constant rate of 16 sq. ft./min. When the perimeter of the square is 36 ft, how fast is the perimeter of the square increasing? I dont know what to do with the perimeter.
B. A photographer is stationed 250 feet from the base of a tall tree. She observes a koala bear climbing up the tree at a rate of 1.5 feet per second. At the instant when the koala bear is 5 feet up the tree, how fast is the distance between the photographer and the koala bear changing?

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3. A woman in a hot air balloon drops her GoPro Hero 10 when the balloon is 175 ft above the ground and rising at the rate of 12 ft/sec. (a) How long will it take the GoPro to reach the ground, and (b) with what speed will it strike the ground?