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Problem 5.1 (Prob. 27, P.

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 𝑣0 and assume its height 𝑦 𝑡 above the surface
satisfies the initial value problem
𝑦′′ = −𝐺𝑀/ 𝑦 + 𝑅 2
𝑦 0 = 0
𝑦′ 0 = 𝑣0
Compute the maximum altitude the projectile reaches and the time (from launch) for the
projectile to reach the maximum altitude.

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