To determine (a) The equation of rocket’s trajectory (b) Shape of trajectory (c) Elevation of rocket Explanation Part (a): Velocity is basically a speed of a particle in a particular direction with magnitude. It is the ratio of the displacement per unit time. It is expressed by the expression as given below: v = x t …… (1) Here, x is displacement traveled by the body in time t . The SI unit of velocity is meter per second m/s . So, the motion of rocket in horizontal x-direction is given by using equation (1) below: x = v x t v x = v cos θ = a x t …… (2) Here, θ is the angle formed with horizontal component. By using Newton’s equation of motion, the motion of rocket in vertical y-direction is given below: s = v t + 1 2 a t 2 y = v sin θ t − 1 2 a t 2 …… (3) Part (c): Total force F y in the y-direction is force of thrust in upward so F = F thrust sin θ and normal force in downward direction so F N = m g F y = m a y a y = F y m a y = F sin θ − m g m …… (4) Here, u is the initial velocity of the rocket, v is the final velocity of the rocket, and s is the distance covered the rocket. Initial velocity of the rocket in both the x- and y-direction is zero. So the expression for final velocity of the rocket to reach the speed of the sound is given as follows: v y 2 = 2 a y y y = v y 2 2 a y ……. (5) Given: Mass of interceptor rocket m = 5000 kg Thrust of rocket F thrust = 140700 N Speed of sound v = 330 m/s Rocket launched at angle θ = 44.7 ο Formula used: v = x t y = v sin θ t − 1 2 a t 2 F = m a Calculation: Part (a): Substitute, equation (2) in equation (3), so the equation in terms of y as a function of x that shows the rocket’s trajectory is given as follows: y ( x ) = v sin θ ( x v cos θ ) − 1 2 g ( x v x ) 2 y ( x ) = x tan θ − 1 2 g ( x v x ) 2 …… (6) Part (b): Equation (6) shows the equation of parabola and its axis is parallel to y-axis

17th Edition

ISBN: 9780137319497

Author: Knight

Publisher: PEARSON

See similar textbooks

Concept explainers

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

Videos

Question

Chapter 8, Problem 34EAP

To determine

(a) The equation of rocket’s trajectory

(b) Shape of trajectory

(c) Elevation of rocket

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8, Problem 33EAP

Chapter 8, Problem 35EAP

Students have asked these similar questions

1. Measurements and Linear Regression 1.1 Introduction The objective of this lab assignment is to represent measurement data in graphical form in order to illustrate experimental data and uncertainty visually. It is often convenient to represent experimental data graphically, not only for reporting results but also to compute or measure several physical parameters. For example, consider two physical quantities represented by x and y that are linearly related according to the algebraic relationship, y=mx+b, (1.1) where m is the slope of the line and b is the y-intercept. In order to assess the linearity between y and x, it is convenient to plot these quantities in a y versus x graph, as shown in Figure 1.1. Datapoints Line of regression Figure 1.1: Best fit line example. Once the data points are plotted, it is necessary to draw a "best fit line" or "regression line" that describes the data. A best fit line is a straight line that is the best approximation of the given set of data, and…

Please help with Statistical Analysis table. These are trials from a Newton's Laws of Motion lab, please help with standard deviation and margin of error. Thanks!

please solve and answer the question correctly. thank you!!

Chapter 8 Solutions

PHY F/SCIENTIST MOD MASTERING 24 MO

Ch. 8 - In uniform circular motion, which of the following...Ch. 8 - A car runs out of gas while driving down a hill....Ch. 8 - FIGURE Q8.3 is a bird's-eye view of particles on...Ch. 8 - Tarzan swings through the jungle on a massless...Ch. 8 - FIGURE Q8.5 shows two balls of equal mass moving...Ch. 8 - Ramon and Sally are observing a toy car speed up...Ch. 8 - A jet plane is flying on a level course at...Ch. 8 - A small projectile is launched parallel to the...Ch. 8 - 9. You can swing a ball on a string in a vertical...Ch. 8 - A golfer starts with the club over her head and...

Ch. 8 - As a science fair project, you want to launch an...Ch. 8 - A 500 g model rocket is on a cart that is rolling...Ch. 8 - A 4.0 × 1010 kg asteroid is heading directly...Ch. 8 - A 55 kg astronaut who weighs 180 N on a distant...Ch. 8 - A 1500 kg car drives around a flat 200-m-diameter...Ch. 8 - A 1500 kg car takes a 50-m-radius unbanked curve...Ch. 8 - A 200 g block on a 50-cm-long string swings in a...Ch. 8 - In the Bohr model of the hydrogen atom, an...Ch. 8 - Suppose the moon were held in its orbit not by...Ch. 8 - 10. A highway curve of radius 500 m is designed...Ch. 8 - It is proposed that future space stations create...Ch. 8 - A 5.0 g coin is placed 15 cm from the center of a...Ch. 8 - Mass m1on the frictionless table of FIGURE EX8.13...Ch. 8 - A satellite orbiting the moon very near the...Ch. 8 - What is free-fall acceleration toward the sun at...Ch. 8 - 16. A 9.4 × 1021 kg moon orbits a distant planet...Ch. 8 - Communications satellites are placed in circular...Ch. 8 - A car drives over the top of a hill that has a...Ch. 8 - The weight of passengers on a roller coaster...Ch. 8 - A roller coaster car crosses the top of a circular...Ch. 8 - The normal force equals the magnitude of the...Ch. 8 - A student has 65-cm-long arms. What is the minimum...Ch. 8 - While at the county fair, you decide to ride the...Ch. 8 - A 500 g ball swings in a vertical circle at the...Ch. 8 - A 500 g ball moves in a vertical circle on a...Ch. 8 - A heavy ball with a weight of 100 N (m = 10.2 kg)...Ch. 8 - A toy train rolls around a horizontal...Ch. 8 - 28. A new car is tested on a 200-m-diameter track....Ch. 8 - An 85,000 kg stunt plane performs a loop-the-loop,...Ch. 8 - Three cars are driving at 25 m/s along the road...Ch. 8 - Derive Equations 8.3 for the acceleration of a...Ch. 8 - 32. A 100 g bead slides along a frictionless wire...Ch. 8 - 33. Space scientists have a large test chamber...Ch. 8 - 34. A 5000 kg interceptor rocket is launched at an...Ch. 8 - Prob. 35EAP Ch. 8 - 36. A rocket- powered hockey puck has a thrust of...Ch. 8 - Prob. 37EAP Ch. 8 - A 2.0 kg projectile with initial velocity m/s...Ch. 8 - A 75 kg man weighs himself at the north pole and...Ch. 8 - A concrete highway curve of radius 70 m banked at...Ch. 8 - a. an object of mass m swings in horizontal circle...Ch. 8 - 42. You’ve taken your neighbor’s young child to...Ch. 8 - A 4.4-cm-diameter, 24 g plastic ball is attached...Ch. 8 - A charged particle of mass m moving with speed v...Ch. 8 - Two wires are tied to the 2.0 kg sphere shown in...Ch. 8 - Two wires are tied to the 300 g sphere shown in...Ch. 8 - A conical pendulum is formed by attaching a ball...Ch. 8 - The 10 mg bead in FIGURE P8.48 is free to slide on...Ch. 8 - In an old-fashioned amusement park ride,...Ch. 8 - The ultracentrifuge is an important tool for...Ch. 8 - In an amusement park ride called The Roundup,...Ch. 8 - 52. Suppose you swing a ball of mass m in a...Ch. 8 - A 30 g ball rolls around a 40-cm-diameter L-shaped...Ch. 8 - FIGURE P8.54 shows a small block of mass m sliding...Ch. 8 - The physics of circular motion sets an upper limit...Ch. 8 - A 100 g ball on a 60-cm-long string is swung in a...Ch. 8 - A 60 g ball is tied to the end of a 50-cm-long...Ch. 8 - Elm Street has a pronounced dip at the bottom of a...Ch. 8 - 59. A 100 g ball on a 60-cm-long string is swung...Ch. 8 - Scientists design a new particle accelerator in...Ch. 8 - 61. A 1500 kg car starts from rest and drives...Ch. 8 - Prob. 62EAP Ch. 8 - 63. A 2.0 kg ball swings in a vertical circle on...Ch. 8 - In Problems 64 and 65 you are given the equation...Ch. 8 - In Problems 64 and 65 you are given the equation...Ch. 8 - Sam (75 kg) takes off up a 50-m-high, 10°...Ch. 8 - In the absence of air resistance, a projectile...Ch. 8 - The father of Example 8.2 stands at the summit of...Ch. 8 - A small bead slides around a horizontal circle at...Ch. 8 - A 500 g steel block rotates on a steel table while...Ch. 8 - If a vertical cylinder of water (or any other...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.