Chapter 9.1, Problem 43E

Motion in a gravitational field An object is fired vertically upward with an initial velocity v(0) = v₀ from an initial position s(0) = s₀.

a.    For the following values of v₀ and s₀, find the position and velocity functions for all times at which the object is above the ground.

b.    Find the time at which the highest point of the trajectory is reached and the height of the object at that time.

29.     $v_0=29.4\text{m}/\text{s},s_0=30\text{ m}$