1) A rocket has a trajectory described by the equation y=x^2, it's acceleration is 6.0m/s^2[up], is there enough information to determine the height of the rocket when it reach a speed of 330m/s? If so, how?

no because you didn't state the start conditions.

1) A rocket has a trajectory described by the equation y=x^2, it's acceleration is 6.0m/s^2[up], is there enough information to determine the height of the rocket when it reach a speed of 330m/s? If so, how?

well if its initial speed was 0, then theres enough info.

"1) A rocket has a trajectory described by the equation y=x^2, it's acceleration is 6.0m/s^2[up], is there enough information to determine the height of the rocket when it reach a speed of 330m/s? If so, how?"

In y=x^2 , is x a distance or time coordinate?

If x is a distance coordinate then a second question arises:
Is the acceleration in terms of the constant vertical direction, or is the acceleration actually along the line of flight (as would be the case in the real world)?

This appears to be a straight-up rocket problem, so use y = t^2 with t in seconds and combine with the other equations of motion, turn the algebra crank and grind out a solution.

"1) A rocket has a trajectory described by the equation y=x^2, it's acceleration is 6.0m/s^2[up], is there enough information to determine the height of the rocket when it reach a speed of 330m/s? If so, how?"

In y=x^2 , is x a distance or time coordinate?

If x is a distance coordinate then a second question arises:
Is the acceleration in terms of the constant vertical direction, or is the acceleration actually along the line of flight (as would be the case in the real world)?

This appears to be a straight-up rocket problem, so use y = t^2 with t in seconds and combine with the other equations of motion, turn the algebra crank and grind out a solution.

use y=t^2 ??? u sure its not y=0.5t^2 ?

use y=t^2 ??? u sure its not y=0.5t^2 ?

Well no, I'm not. I guess I just wanted to get caught up with the existing uncertainty as best I could without adding more uncertainty.:)

I was presuming that the poser of the problem was specifying a given equation of motion as the rocket was experiencing the acceleration of its engines as well as gravity.

Your equation of motion perhaps makes more sense but I was supposing that a variable name had been inadvertently switched. Well, that and the fact that the units don't work, maybe there is an 'a' missing in both the above?

well if its initial speed was 0, then theres enough info.


Well if grandma had balls then she would be grandpa.

Well if grandma had balls then she would be grandpa.

not exactly. having high amount of estrogen, having a genitalia that of a woman and having balls...would make one a...Hermaphrodite. But yes I see the depth of your intellect in your sarcastical note.