Problema Solution

A model rocket is launched with an initial upward velocity of 235ft/s . The rocket's height h (in feet) after t seconds is given by the following.

h=235t-16t^2

Find all values of for which the rocket's height is 151 feet.

Answer provided by our tutors

the rockets height is given by


h(t) = 235t-16t^2


we want to find all the values of t so that h(t) = 151 ft that is


we need to solve the quadratic equation


235t-16t^2 = 151


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t1 = 0.67 s


t2 = 14.01 s


0.67 s and 14.01 s after the launching the rocket will be at 151 ft height.