Question: Mr. Smith shoots a rocket off a platform with an initial velocity of 142ft/sec, where t is the time in seconds and f(t) is the

Mr. Smith shoots a rocket off a platform with an initial velocity of 142ft/sec, where t is the time in seconds and f(t) is the height in feet. The equation of the path of the rocket is:

f(t) = -16t^2 + 142t + 18

a) What is the initial height of the rocket?

b) After how many seconds does the rocket land on the ground?

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