### Rocket Motion ProblemA rocket is launched at an angle of **51.0°** above the horizontal with an initial speed of **101 m/s**. The rocket moves for **3.00 s** along its initial line of motion with an acceleration of **32.0 m/s²**. At this time, its engines fail and the rocket proceeds to move as a projectile. #### Question (a): Maximum AltitudeFind the maximum altitude reached by the rocket.- Calculated Value: **1543.28 m** (Correct Answer) #### Question (b): Total Time of FlightFind its total time of flight.- Calculated Value: **34.2 s** (Incorrect Answer)#### Question (c): Horizontal RangeFind its horizontal range.- Calculated Value: **3873.6 m** (Incorrect Answer)### ExplanationThis problem involves the motion of a rocket launched at an angle with an initial velocity, followed by uniform acceleration for a short duration and then moving as a projectile after engine failure. For part (a), the correct maximum altitude reached by the rocket was calculated as 1543.28 meters.For parts (b) and (c), the values given—34.2 seconds for total time of flight and 3873.6 meters for horizontal range—were marked as incorrect answers. To fully solve these, one would need to break down the motion into two phases: powered flight with continuous acceleration and projectile motion after the engine failure. ### Detailed Calculation Steps:#### **Maximum Altitude**:- Combine vertical motion equations considering the powered phase until engine failure and subsequent projectile motion.#### **Total Time of Flight**:- Find the time for ascent using kinematic equations, then calculate the descent time using standard projectile motion equations.#### **Horizontal Range**:- Use the horizontal component of initial velocity and total time of flight to determine the horizontal displacement.Ensuring the right steps and calculations can help find the correct solutions for total time of flight and horizontal range.

given that, The angle of the launch of the rocket is: α=51. The initial speed of the rocket is:…

A rocket is launched at an angle of 51.0° above the horizontal with an initial speed of 101 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 32.0 m/s². At this time, its engines fail and the rocket proceeds to move as a projectile. (a) Find the maximum altitude reached by the rocket. 1543.28 m (b) Find its total time of flight. 34.2 X S (c) Find its horizontal range. 3873.6 Xm

A rocket is launched at an angle of 51.0° above the horizontal with an initial speed of 101 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 32.0 m/s². At this time, its engines fail and the rocket proceeds to move as a projectile. (a) Find the maximum altitude reached by the rocket. 1543.28 m (b) Find its total time of flight. 34.2 X S (c) Find its horizontal range. 3873.6 Xm

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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