What is the acceleration of a spacecraft during liftoff?

In summary, acceleration is the rate of change of an object's velocity over time. It can be calculated by dividing the change in velocity by the change in time. There are three main equations for motion acceleration, which involve acceleration, final velocity, and displacement. Average acceleration is the overall change in velocity over a given period of time, while instantaneous acceleration is the acceleration at a specific moment in time. The mass of an object affects its acceleration, with greater mass requiring more force to accelerate at the same rate.
  • #1
elleleeanne
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Homework Statement



Within 4 sec of liftoff, a spacecraft that is uniformly accelerating straight upward from rest reaches an altitude of 450 m [up]. What is the spacecraft 's acceleration?

Homework Equations



The five key equations, plus the velocity, speed, and acceleration equations

The Attempt at a Solution



I don't know what the altitude would be (Displacement? Distance?), so I can't solve the equation with the five key equations.
 
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  • #2
Do you know an equation from the key equations that involves displacement+velocty+time+acceleration?

Hint: displacement = ??
 
  • #3
Thank you so much!
 

1. What is acceleration?

Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude (speed) and direction.

2. What are the three equations for motion acceleration?

The three equations for motion acceleration are:

  • Acceleration (a): a = Δv/Δt or a = (vf - vi)/t
  • Final velocity (vf): vf = vi + at
  • Displacement (d): d = vit + 1/2at²

3. How do you calculate acceleration?

To calculate acceleration, divide the change in velocity (Δv) by the change in time (Δt). This can also be written as (vf - vi)/t. The result will be in units of meters per second squared (m/s²).

4. What is the difference between average acceleration and instantaneous acceleration?

Average acceleration is the overall change in velocity over a given period of time, while instantaneous acceleration is the acceleration at a specific moment in time. Average acceleration can be calculated using the first equation listed above, while instantaneous acceleration can be calculated using calculus.

5. How does mass affect acceleration?

According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. This means that the greater the mass of an object, the more force is needed to accelerate it at the same rate.

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