An object thrown into the air is known to obey the initial value problemwhere y is the hei...

An object thrown into the air is known to obey the initial value problem

where y is the height of the ball above ground (in meters) at t seconds. The solution of this initial value problem is

Following the lead of Examples 2–5 in the text, plot this solution, then find its maximum height and the time at which it occurs. Then find the time it takes the object to return to the ground. Question: Does the time it takes the object to reach its maximum height equal the time it takes the object to return to ground level from this maximum height? In other words, does it take the object the same amount of time to go up as it takes the object to come down?