In two or more complete sentences, explain how to find the time it takes for a rocket following the path of the
parametric equations, x= 3t2 and y=-4t+ 16, to hit the ground.

After t = 4 the rocket will hit the ground.

Step-by-step explanation:

We are given a parametric equation as x = 3t² and y = - 4t + 16.

If we assume that the x is a measure of horizontal distance, y is the measure of vertical distance and t is the time of travel of the rocket, then by making y = 0, we will get the time to hit the ground.

Hence, - 4t + 16 = 0

⇒ t = 4

Therefore, after t = 4 the rocket will hit the ground. (Answer)

so, converting firstly the mixed fractions to improper fractions and then "adding".