Upward Acceleration of an Object

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An object moving upwards with constant acceleration must consider the force of gravity acting downwards. For a rocket during thrust, the net upward acceleration can be calculated by subtracting the gravitational acceleration (-9.81 m/s²) from the thrust acceleration. Kinematic equations can be used to find the maximum height by calculating distances during thrust and after thrust separately. It is crucial to account for gravity as it affects the overall motion, even when using kinematics alone. The discussion emphasizes the importance of understanding how gravity influences the rocket's upward acceleration during its thrust phase.
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I just have a quick question. If an object is moving upwards at constant acceleration, does it take into account the acceleration of gravity pulling downwards?

For example if I have to find the acceleration of a rocket during its thrust. Would its acceleration include the force of gravity pulling downwards?

How would I find the acceleration during thrust?
 
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I don't think it does. Normally one would measure the resultant acceleration and use that to find the thrust.

ma=Fthrust-weight
 
yes it would.

imagine if you threw a ball in the air. it would start off faster than it would end up at its highest point before it fell. a rocket is much different because you have to factor in the thrust of the engine, but yes gravity still acts on the rocket as a downward force.

Does this help?wait but wouldn't the rocket still experience the downward force of gravity?

but to the original question, the gravity doesn't have accleration it exerts a negative force.
 
k my main problem is i need to find the maximum height of the rocket i launched using kinematic equations. I'm assuming i use d=vt+0.5at^2 for the distance during thrust and then again after thrust to its maximum height. Then I would just add these two distance and get the max height. (btw i have the values for thrust time, thrust angle, max time and max angle)

but i got stumped when i had to find the acceleration of the rocket during thrust. How would i calculate this? I'm not sure how to take into account gravity when trying to find the upward acceleration during thrust.
 
whats the weight of the rocket? and gravity equals -9.81 m/s^2

do you know the acceleration due to the thrust. i guess you could take that number and subtract the gravity (-9.81) and that would equal your upward acceleration per second

dont trust me on this though
 
I don't know the weight of the rocket its not given. and I can't use forces and all that. I have to use ONLY kinematics
 
Gravity is the only thing holding the rocket down, really, so it's obviously important since it's the force you need to overcome to get a rocket into space. If there was no gravity, you wouldn't even need to reach high velocities, so air resistance wouldn't really be a problem either.
 
so how would I calculate that into when I'm trying to find the acceleration during thrust?
 
hmmmi didnt know you were only using kinematics my apologies.

yeah gravity is basically the only resisting forc ein this equation as i am assuming you don't have to worry about ar like phythagorean said...

is your op the actual problem they gave you or did you get any numbers?
 
  • #10
uazaga said:
k my main problem is i need to find the maximum height of the rocket i launched using kinematic equations. I'm assuming i use d=vt+0.5at^2 for the distance during thrust and then again after thrust to its maximum height. Then I would just add these two distance and get the max height. (btw i have the values for thrust time, thrust angle, max time and max angle)

but i got stumped when i had to find the acceleration of the rocket during thrust. How would i calculate this? I'm not sure how to take into account gravity when trying to find the upward acceleration during thrust.

well so assuming this is all theoretical you would assume no air resistance. However for the thrust you will need to account Fg on the object because the value put in has to be fnet=ma. So you would need mass for this or else you can't really solve for upwards acceleration thus you can't sub in a value into the kinematic equation.

-Thrust doesn't include fg acting on it.
 
  • #11
I'm confused. Are you given the acceleration, or do you need to find it using forces?

If I say "the rocket is accelerating upwards at 2 m/s^2", well, that's how fast it's accelerating upwards! So at t=0 v=0 m/s, at t=1 v=2 m/s, at t=2 v=4m/s, etc.
 
  • #12
he wants to know the net acceleration acting on the rocket i thought not only thrust.
 
  • #13
alright guys sorry, let me a bit more clear. I need to find the average acceleration during thrust of my rocket.
I have these values.
Thrust Time = 1.05 s
Thrust Angle = 28 degrees
Max Time = 3.6 s
Max Angle = 49 degrees

This is what i have so far. We stood 50 m away horizontally from the rockets and measured it as it went up using some sort of tool to measure the angle as the rocket went up.

So I have a = v/t = d/t /t = d/t^2. Distance would be 50 tan(theta) so.. 50 tan(theta) / t^2

Now I'm confused here. Obviously the rocket is accelerating upwards during thrust. But doesn't that mean that gravity is also reducing the acceleration since its pulling it downwards? Does this take into factor of the average acceleration during thrust? If so how would I go about calculating it in?
 
  • #14
and no air resistance is not considered. Oh and I must find this using ONLY kinematics and no forces.
 
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