If a motorcycle is traveling at 5 m/s how long will take to travel 200 m/s

If the motorcycle is traveling at 5m/s it would take 40 to travel 200 m/s

For this case we have the following function that models the problem is:
 
 The time for which the maximum height occurs is obtained by deriving the equation:
 
 We equal zero and clear x:
 
 The maximum height is obtained by evaluating the time obtained in the given equation:
 
 Then, by the time it reaches the ground we have:
 
 From here, we clear x solving the quadratic equation:
 
 We discard the negative root, and obtain as a result:
 
 
 2.The pumpkin's maximum height is 151.02 feet and it hits the ground after 6.04 seconds