Suppose that a projectile is fired straight upward from the surface of the earth with initial velocity

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Suppose that a projectile is fired straight upward from the surface of the earth with initial velocity v₀ < √2GM/R. Then its height y(t) above the surface satisfies the initial value problem

Substitute dv/dt = v(dv/dy) and then integrate to obtain

for the velocity v of the projectile at height y. What maximum altitude does it reach if its initial velocity is 1 km/s?

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Jul 03, 2023 02:52 AM

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Suppose that a projectile is fired straight upward from the surface of the earth with initial velocity

Question:

d²y dt2 GM (y + R)2* y (0) = 0, y'(0) = = V0.

Step by Step Answer:

Integration of v dv dy GM y R 21v y 0 0 v0v gives 5 G...View the full answer

Differential Equations And Linear Algebra

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