Problem 5.1 (Prob. 27, P. 107, Modified) Suppose that a projectile is fired straight upward from

the surface of the earth with initial velocity ð‘£0 and assume its height ð‘¦ ð‘¡ above the surface

satisfies the initial value problem

ð‘¦â€²â€² = âˆ’ðºð‘€/ ð‘¦ + ð‘… 2

ð‘¦ 0 = 0

ð‘¦â€² 0 = ð‘£0

Compute the maximum altitude the projectile reaches and the time (from launch) for the

projectile to reach the maximum altitude.

the surface of the earth with initial velocity ð‘£0 and assume its height ð‘¦ ð‘¡ above the surface

satisfies the initial value problem

ð‘¦â€²â€² = âˆ’ðºð‘€/ ð‘¦ + ð‘… 2

ð‘¦ 0 = 0

ð‘¦â€² 0 = ð‘£0

Compute the maximum altitude the projectile reaches and the time (from launch) for the

projectile to reach the maximum altitude.

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