A toy rocket is launched vertically from ground level (y = 0 m), at time t = 0.0 S. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 97 m and acquired a velocity of 90 m/s. The rocket continues to rise in unpowered flight, reaches maximum height, and falls back to the ground. The upward acceleration of the rocket during the burn phase is closest to: O 39 m/s² 42 m/s 2 37 m/s 2 38 m/s 2 O 41 m/s2

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Educational Website Content: Rocket Launch Problem**

**Problem Description:**

A toy rocket is launched vertically from ground level (\(y = 0 \, \text{m}\)) at time \(t = 0.0 \, \text{s}\). The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 97 meters and acquired a velocity of 90 meters per second. The rocket continues to rise in unpowered flight, reaches maximum height, and falls back to the ground.

**Question:**
The upward acceleration of the rocket during the burn phase is closest to:

- \(39 \, \text{m/s}^2\)
- \(42 \, \text{m/s}^2\)
- \(37 \, \text{m/s}^2\)
- \(38 \, \text{m/s}^2\)
- \(41 \, \text{m/s}^2\)

**Instructions:**
Select the option that best estimates the upward acceleration of the rocket during the powered phase of its flight. Use relevant physics equations and concepts such as kinematics and Newton's laws to determine the answer.
Transcribed Image Text:**Educational Website Content: Rocket Launch Problem** **Problem Description:** A toy rocket is launched vertically from ground level (\(y = 0 \, \text{m}\)) at time \(t = 0.0 \, \text{s}\). The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 97 meters and acquired a velocity of 90 meters per second. The rocket continues to rise in unpowered flight, reaches maximum height, and falls back to the ground. **Question:** The upward acceleration of the rocket during the burn phase is closest to: - \(39 \, \text{m/s}^2\) - \(42 \, \text{m/s}^2\) - \(37 \, \text{m/s}^2\) - \(38 \, \text{m/s}^2\) - \(41 \, \text{m/s}^2\) **Instructions:** Select the option that best estimates the upward acceleration of the rocket during the powered phase of its flight. Use relevant physics equations and concepts such as kinematics and Newton's laws to determine the answer.
Expert Solution
Step 1

This is a question regarding vertical motion under a constant acceleration.

The equation of motion to be used here is:
v2=u2+2ah
where, 
v is the final velocity,
u is the initial velocity,
a is the acceleration and 
h is the height reached.

Given:

The height achieved by the rocket is: h=97 m

The final velocity of the rocket is: v=90 m/s

Assume that the initial velocity is: u=0 m/s

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