Section 4.2 Two-Dimensional KinematicsA model rocket is

Chapter 4, Problem 7E

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QUESTION:

Problem 7E

Section 4.2 Two-Dimensional Kinematics

A model rocket is launched from rest with an upward acceleration of 6.00 m/s2 and, due to a strong wind, a horizontal acceleration of 1.50 m/s2 How far is the rocket from the launch pad 6.00 s later when the rocket engine runs out of fuel?

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QUESTION:

Problem 7E

Section 4.2 Two-Dimensional Kinematics

A model rocket is launched from rest with an upward acceleration of 6.00 m/s2 and, due to a strong wind, a horizontal acceleration of 1.50 m/s2 How far is the rocket from the launch pad 6.00 s later when the rocket engine runs out of fuel?

ANSWER:

Step 1 of 3

A model rocket accelerated in the \(\mathrm{y}\) axis is affected by the wind along the \(\mathrm{x}\) direction. We are going to find the vertical distance traveled by the rocket.

The acceleration of the rocket in the \(\mathrm{y}\) direction \(\mathrm{a}_{\mathrm{y}}=6.00 \mathrm{~m} / \mathrm{s}^{2}\)

The acceleration of the wind in the \(\mathrm{x}\) direction \(\mathrm{a}_{\mathrm{x}}=1.5 \mathrm{~m} / \mathrm{s}^{2}\)

The time taken by the rocket when the engine runs out of fuel \(\Delta \mathrm{t}=6 \mathrm{~s}\)

The initial speed of the rocket \(\mathrm{v}_{\mathrm{is}}=0\)

 

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