A model rocket is launched from a platform 12 meters high at a speed of 35 meters per second. It’s height h can be modeled by the equation h = -4.9t^2 + 35t + 12, where t is the time in seconds. At what time will the rocket hit the ground? Round your answer to the nearest hundredth.

Please show all work and not just the answer.

Step-by-step explanation:

There's not a whole lot of work to show if you know how to use the quadratic formula to factor a quadratic.  We are given the parabolic model for this situation and are asked how long it takes for the rocket to hit the ground.  The height of the rocket when it is ON the ground is 0, so sub in a 0 for h and factor to find t:

Plugging this into the quadratic formula gives you 2 times:

t = -.33 seconds and

t = 7.47 seconds

Since we all know that the 2 things in math that will NEVER be negative are distance measures and time, we can disregard the negative time and go with t = 7.47 seconds.

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step-by-step explanation: