the altitude of h of a rocket from its moment of launch untill it falls to Earth is given by h(t)=t^4-8t^3+375 where the altitude h is measured in ft n time is t in sec. a. what is the altitude of the rocket. b. when does the projectile impact earth? c. what is the maximum altitude? d. what is its maxu=imum upward velocity? e. what is the maximum downward velocity? f. what is its maximum upward acceleration? g. what is the maximum downward acceleration?
2006-11-11 07:44:37 · 2 answers · asked by crazy baby 1 in Science & Mathematics ➔ Mathematics
Strange formula, since it has no consideration of the changes when the engine runs out of fuel.
Suggestion, if you have Excel or something like that...
Plug in a series of times in one column - perhaps seconds, or for more precision, try tenths of seconds.
Have the next column calculate the height based on your formula.
Then you could calculate vertical speed in the next column.
You can also have Excel plot graphs of this....
Sounds like your homework is the usual kind. Maybe this will help.
Clearly, if you differentiate the expression, you can get a formula for vertical velocity (dH/dT)
If you solve for t when vertical velocity = 0, that will be the time of maximum altitude...
And so on. Good luck.
2006-11-11 07:55:34 · answer #1 · answered by birchardvilleobservatory 7 · 0⤊ 1⤋
Please recheck your equation. It does not permit h=0 in real time.
2006-11-11 15:57:24 · answer #2 · answered by Helmut 7 · 0⤊ 1⤋