Problema Solution

An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height

s at time t seconds after launch is s(t) =

-4.9t2 + 19.6t + 58.8, where s is in meters. When does the object strike the

ground?

Answer provided by our tutors

the object strikes the ground when


s(t) = -4.9t^2 + 19.6t + 58.8, for some t (t>0)


by solving the equation


-4.9t^2 + 19.6t + 58.8 = 0


we find


t = 6 s


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the object strikes the ground after 6 seconds.