2-D Kinematics: Distance of Rocket from Launch Pad

[JohnSwine]

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.

 

[azizlwl]

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.

 

[ehild]

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