Answered: Rocket from the ground has velocity of…

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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Rocket from the ground has velocity of 600 m/s at angle 35 degrees above level ground.

1.Maximum height reached by rocket?

2.The horizontal distance traveled by rocket before it hits the ground

Expert Solution

Step 1

Given data

The velocity is $u = 600 m / s$

The angle of the rocket is $θ = 35^{o}$

The maximum height reached by rocket is,

$\begin{array}{rcl} h & = & \frac{u^{2} \sin^{2} θ}{2 g} \\ = & \frac{{(600 m / s)}^{2} \sin^{2} 35^{o}}{2 \times (9.81 m / s^{2})} \\ = & 6036.51 m \end{array}$

Here g is the acceleration due to gravity.

Thus, the maximum height reached by the rocket is 6036.51 m.

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