Problema Solution

An object is thrown downward with an initial velocity of 5 feet per second. The relationship between the distance "s" it travels and time "t" is given by s=5t+16t^2. How long does it take the object to fall 74 feet?

Answer provided by our tutors

s=5t+16t^2


we need to find for what t such that t>0 the distance s= 74 ft that is


5t+16t^2 = 74


by solving we find


t = 2 s


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it takes 2 seconds for the object to fall 74 ft.