SOLUTION: A toy rocket is shot vertically into the air from a launching pad 8 feet above the ground with an initial velocity of 112 feet per second. The height h, in feet, of the rocke
Question 1147199: A toy rocket is shot vertically into the air from a launching pad 8 feet above the ground with an initial velocity of 112 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h left parenthesis t right parenthesis equals negative 16 t squared plus 112 t plus 8. How long will it take the rocket to reach its maximum height? What is the maximum height? Answer by ikleyn(52797) (Show Source):
The formula for the height is
h(t) = -16t^2 + 112t + 8.
The time to get the maximum height is t = = = = 3.5 seconds.
I refer to the formula x = for the general form quadratic function y = ax^2 + bx + c.
The maximum height you can get by substituting this value of time t= 3.5 seconds into the formula (1)
h(3.5) = -16*3.5^2 + 112*3.5 + 8.
Use your calculator.
