given by the function s(t)=-16t^(2)+60t+80. determine the time at which the rocket reaches its maximum height and find the maximum height

Question

a stone is thrown directly upward from a height of 30ft with an intitial velocity of 60 ft per second. the height of the stone t seconds after it has been thrown is given by the function s(t)=-16t^(2)+60t+80. determine the time at which the rocket reaches its maximum height and find the maximum height

Answer 1

Use the equation

 

h = -b / (2a)

 

where:

h = time of maximum height

a = -16

b = 60

 

 

Then the maximum height is  s(h).