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Answer: A test rocket is launched by accelerating it along
Chapter 3, Problem 47P(choose chapter or problem)
A test rocket is launched by accelerating it along a \(200.0-\mathrm{m}\) incline at \(1.25 \mathrm{~m} / \mathrm{s}^{2}\) starting from rest at point \(A\) (Fig. P3.47). The incline rises at \(35.0^{\circ}\) above the horizontal, and at the instant the rocket leaves it, its engines turn off and it is subject only to gravity (air resistance can be ignored). Find (a) the maximum height above the ground that the rocket reaches, and (b) the greatest horizontal range of the rocket beyond point \(A\).
Questions & Answers
QUESTION:
A test rocket is launched by accelerating it along a \(200.0-\mathrm{m}\) incline at \(1.25 \mathrm{~m} / \mathrm{s}^{2}\) starting from rest at point \(A\) (Fig. P3.47). The incline rises at \(35.0^{\circ}\) above the horizontal, and at the instant the rocket leaves it, its engines turn off and it is subject only to gravity (air resistance can be ignored). Find (a) the maximum height above the ground that the rocket reaches, and (b) the greatest horizontal range of the rocket beyond point \(A\).
Step 1 of 3
Given:
- \(L=200.0 \mathrm{~m}\)
- \(a=1.25 \mathrm{~m} \cdot \mathrm{s}^{-2}\)
- \(v_{i 1}=0 \mathrm{~m} / \mathrm{s}\)
- \(\theta=35^{\circ}\)
We need to find out
a) \(h_{\max }\).
b) \(x_{\max }\)