2-D Kinematics: Distance of Rocket from Launch Pad

In summary, a model rocket is launched with an upward acceleration of 6.00m/s^2 and a horizontal acceleration of 1.50m/s^2. To find the distance from the launch pad after 6.00s, the motion can be described independently in the horizontal and vertical directions with uniform acceleration. The equations for displacement in both directions can be used to solve for the distance.
  • #1
JohnSwine
2
0

Homework Statement



A model rocket is launched from rest with an upward acceleration of 6.00m/s^2 and, due to a strong wind, a horizontal acceleration of 1.50m/s^2. How far is the rocket from the launch pad 6.00s later when the rocket engine runs out of fuel?

Homework Equations



Not sure..

The Attempt at a Solution



I've been trying to figure this out, and I'm still not sure how to approach it.
 
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  • #2
Sketch a velocity vs. time graph.
You will see that from zero the velocity increases with the rate 6(m/s)/s for 6 secs.
Then it slows down to with rate of g untl zero velocity where it is at the top of the flight
Next it will continue with negative velocity(acceleration g) until it reaches the ground.
The net total area is equal to zero.

The horizontal vector remains constant.
Taking total flight time, you can multiply this to horizontal velocity to find the answer.
 
  • #3
JohnSwine said:

Homework Statement



A model rocket is launched from rest with an upward acceleration of 6.00m/s^2 and, due to a strong wind, a horizontal acceleration of 1.50m/s^2. How far is the rocket from the launch pad 6.00s later when the rocket engine runs out of fuel?

Homework Equations



Not sure..

The Attempt at a Solution



I've been trying to figure this out, and I'm still not sure how to approach it.

You certainly know that you can describe the motion of a rocket as if it moved independently both in horizontal (x) and vertical (y) direction. Both motion happens with uniform acceleration. You certainly learned how the displacement changes with time during a motion with uniform acceleration? write up the equations both for x and y directions.

ehild
 

1. How is the distance of a rocket from its launch pad calculated?

The distance of a rocket from its launch pad is calculated using the formula d = v0t + (1/2)at2, where d is the distance, v0 is the initial velocity, t is the time elapsed, and a is the acceleration.

2. What is the significance of 2-D kinematics in rocket launches?

2-D kinematics is important in rocket launches because it allows us to analyze the motion of the rocket in two dimensions (x and y), taking into account both the horizontal and vertical components of its motion.

3. How does the distance of a rocket from its launch pad change over time?

The distance of a rocket from its launch pad changes over time according to the rocket's velocity and acceleration. Initially, the distance increases as the rocket accelerates away from the launch pad. However, as the rocket reaches its peak altitude and begins to descend, the distance decreases until it reaches the launch pad again.

4. Can the distance of a rocket from its launch pad be negative?

Yes, the distance of a rocket from its launch pad can be negative. This indicates that the rocket has traveled below the launch pad, either due to a downward motion or a change in direction.

5. How does air resistance affect the distance of a rocket from its launch pad?

Air resistance can impact the distance of a rocket from its launch pad. If the rocket experiences significant air resistance, it may not reach the same distance as it would in a vacuum. Additionally, air resistance can also affect the rocket's velocity and acceleration, ultimately altering its distance from the launch pad.

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