Problema Solution
A toy rocket is launched from a 1.4 m high platform in such a way that its height, h (in meters), after t seconds is given by the equation h equals negative 4.9 t squared plus 9.1 t plus 1.4. How long will it take for the rocket to hit the ground?
Answer provided by our tutors
h(t) = -4.9t^2 + 9.1t + 1.4
The rocket will hit the ground after t seconds when h(t) = 0, where t is positive number.
This means we need to solve the equation -4.9t^2 + 9.1t + 1.4 = 0 for 't':
-4.9t^2 + 9.1t + 1.4 = 0
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click here to see the equation solved for t
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t = 2 s
After 2 seconds the rocket will hit the ground.