SOLUTION: A rocket is fired directly upwards with a velocity of 160 ft/sec, from a platform which is 9 feet above the ground. The equation for the rocket's height, H , as a function of ti

Question 1036883: A rocket is fired directly upwards with a velocity of 160 ft/sec, from a platform which is 9 feet above the ground. The equation for the rocket's height, H , as a function of time, t , is given by the function

H(t)= -16t^2+160t+9
Find the maximum height of the rocket.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The t value is the vertex, which is -b/2a
That is -160/-32, or 5.
At 5 seconds, it is at maximum height. That is -16(25)+160(5)+9=409 feet.

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