A ball is dropped from a point 100 m above the ground with zero initial velocity.What is the velocity of the ball when it hits the ground? And how long will it takefor the ball to hit the ground? (Obtain the related differential equation and solve itusing the Laplace transform)

Given, a ball is dropped from a point 100 m above the ground with zero initial velocity.

Answered: A ball is dropped from a point 100 m

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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10 3.4
A farsighted eye is corrected by placing a converging lens in front of the eye. The lens will create a virtual image that is located at the near point (the closest an object can be and still be in focus) of the viewer when the object is held at a comfortable distance, usually taken to be 25.0 cm. If a person has a near point of 79.5 cm, what power reading glasses should be prescribed to treat this hyperopia? Assume that the distance from the eye to the lens is negligible. power: 0.0275 Incorrect. diopters
How would u answer this?
What term describes the section between points A and D?
5. An airplane is flying at an altitude of 8,000 feet with a speed of 600 feet per second. If the airplane's flight path would take it directly over a selected target on the ground, from how far downrange must a payload be dropped in order for it to land on the target? Neglect air resistance. What is the magnitude of the velocity (speed) of the payload at the time it hits the ground? Treat numbers (including g) as exact and either give the exact answer or a decimal approximation accurate to three places to the right of the decimal.
32. An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the northwest at 50 km/hr. How many degrees off course will the plane end up flying, and what is the plane's speed relative to the ground?

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