A projectile of mass m kg travels straight up from ground level with initial velocity v₀ m/s. Suppose that the velocity v satisfies v'(t) = −9.8 − k/mv(t).

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(a) Determine the velocity v(t). (b) Show that the projectile's velocity is zero at (c) Determine the height y(t). (d) The maximum height is y(t*). Show that m In vok 9.8m + Vok 9.8m mvok-9.8m² In y(t*) = k² (e) If air resistance is negligible, then the maximum height reached by the projectile is lim y(t*). Determine the limit. k-0