The time it takes for the rocket to hit the ground following the given parametric equations is 2 seconds.
How to find the time taken ?
To find the time it takes for a rocket following the path of the parametric equations x = 3t ² and y = -9t + 18 to hit the ground, you need to determine the value of t when the rocket's height (y) becomes zero, indicating it has hit the ground.
Set the equation for y to zero and solve for t:
0 = -9t + 18
-18 = -9t
t = -18 / -9
t = 2 seconds
In conclusion, it takes 2 seconds.