Consider the motion of an object modeled with ideal projectile motion (neglecting air resistance). y=xtan 0- d= The trajectory of the object can be derived from basic physics and is given by the formula: 1 x²g 2 (Vo cos 0)² + Yo Vocos ( 8 Yo V (vo sin 0 + √(vo sin 0)² + 2gyo) V 0 where y is the height in meters, x is the horizontal position in meters, is the initial angle, g is the acceleration due to gravity (9.81m/s²), vo is the initial elocity in m/s, and yo is the initial height in meters. The range, d, of the projectile is the total horizontal distance it travels before hitting the ground and can be determined using the formula: d Code has already been provided to define a function named projectileTrajectory that accepts values for vo (units of meters/second), 0 (units of degrees), and yo (units of meters) as inputs and assigns them to the variables ve, theta, and yo respectively. Add commands to compute the following and assign to the indicated output variables. ▪ Generate a column vector of 200 equally-spaced x-values starting at 0 and ending at d and assign to the output variable x. ▪ Generate a column vector of 200 y-values that gives the height of the projectile corresponding to each x in the fist output and assign to the output variable y. ▪ Determine the coordinates (x, y) of the peak of the trajectory (i.e. the highest value of y and the corresponding value of x) and assign as a 2-element row vector to the variable xyPeak. Solve this problem using only vectorized code with no loops or if statements. Note the values of ve, theta, and ye are supplied to the function when it is run by MATLAB grader. Be sure not to overwrite these values in your code. Function > Save C Reset MATLAB Documentation
Consider the motion of an object modeled with ideal projectile motion (neglecting air resistance). y=xtan 0- d= The trajectory of the object can be derived from basic physics and is given by the formula: 1 x²g 2 (Vo cos 0)² + Yo Vocos ( 8 Yo V (vo sin 0 + √(vo sin 0)² + 2gyo) V 0 where y is the height in meters, x is the horizontal position in meters, is the initial angle, g is the acceleration due to gravity (9.81m/s²), vo is the initial elocity in m/s, and yo is the initial height in meters. The range, d, of the projectile is the total horizontal distance it travels before hitting the ground and can be determined using the formula: d Code has already been provided to define a function named projectileTrajectory that accepts values for vo (units of meters/second), 0 (units of degrees), and yo (units of meters) as inputs and assigns them to the variables ve, theta, and yo respectively. Add commands to compute the following and assign to the indicated output variables. ▪ Generate a column vector of 200 equally-spaced x-values starting at 0 and ending at d and assign to the output variable x. ▪ Generate a column vector of 200 y-values that gives the height of the projectile corresponding to each x in the fist output and assign to the output variable y. ▪ Determine the coordinates (x, y) of the peak of the trajectory (i.e. the highest value of y and the corresponding value of x) and assign as a 2-element row vector to the variable xyPeak. Solve this problem using only vectorized code with no loops or if statements. Note the values of ve, theta, and ye are supplied to the function when it is run by MATLAB grader. Be sure not to overwrite these values in your code. Function > Save C Reset MATLAB Documentation
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
Use vectorized code free of for, while, and if commands
![Consider the motion of an object modeled with ideal projectile motion (neglecting air resistance).
y = xtan 0-1
d =
The trajectory of the object can be derived from basic physics and is given by the formula:
x²g
2 (Vo cos 0)²
Vocos (
8
+ Yo
(vo sin 0 + √(vo sin 0)² + 2gyo)
Yo
where y is the height in meters, x is the horizontal position in meters, is the initial angle, g is the acceleration due to gravity (9.81m/s²), vo is the
initial velocity in m/s, and yo is the initial height in meters. The range, d, of the projectile is the total horizontal distance it travels before hitting the
ground and can be determined using the formula:
V
0
Code has already been provided to define a function named projectileTrajectory that accepts values for vo (units of meters/second), 0 (units
of degrees), and yo (units of meters) as inputs and assigns them to the variables vê, theta, and yo respectively. Add commands to compute the
following and assign to the indicated output variables.
▪ Generate a column vector of 200 equally-spaced x-values starting at 0 and ending at d and assign to the output variable x.
▪ Generate a column vector of 200 y-values that gives the height of the projectile corresponding to each x in the fist output and assign to the
output variable y.
Code to call your function >
d
▪ Determine the coordinates (x, y) of the peak of the trajectory (i.e. the highest value of y and the corresponding value of x) and assign as a
2-element row vector to the variable xyPeak.
Assessment:
Solve this problem using only vectorized code with no loops or if statements. Note the values of ve, theta, and ye are supplied to the function
when it is run by MATLAB grader. Be sure not to overwrite these values in your code.
Function >
1 [x, y, xyPeak] = projectileTrajectory (20, 35, 5)
1 function [x, y, xyPeak] = projectileTrajectory( vė, theta, ye )
2 %Enter the commands for your function in the space below. Use the variable names specified in
3 %the function definition command in line 1. Be sure to assign values to each of the output variables.
4
Is first output x correct for inputs (20, 35, 5)? (Pretest)
>
Is second output y correct for inputs (20, 35, 5)? (Pretest)
>
Is third output xyPeak correct for inputs (20, 35, 5)? (Pretest)
Are all three outputs correct for new input values?
Save
C Reset
> Does solution use vectorized code free of for, while, and if commands? (Pretest)
MATLAB Documentation
C Reset](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f9c0b6a-1382-428a-b6dd-da583bdafc2a%2F5577ec1a-f51d-42b1-89e3-083d6cbeae0c%2Fmmukw4p_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the motion of an object modeled with ideal projectile motion (neglecting air resistance).
y = xtan 0-1
d =
The trajectory of the object can be derived from basic physics and is given by the formula:
x²g
2 (Vo cos 0)²
Vocos (
8
+ Yo
(vo sin 0 + √(vo sin 0)² + 2gyo)
Yo
where y is the height in meters, x is the horizontal position in meters, is the initial angle, g is the acceleration due to gravity (9.81m/s²), vo is the
initial velocity in m/s, and yo is the initial height in meters. The range, d, of the projectile is the total horizontal distance it travels before hitting the
ground and can be determined using the formula:
V
0
Code has already been provided to define a function named projectileTrajectory that accepts values for vo (units of meters/second), 0 (units
of degrees), and yo (units of meters) as inputs and assigns them to the variables vê, theta, and yo respectively. Add commands to compute the
following and assign to the indicated output variables.
▪ Generate a column vector of 200 equally-spaced x-values starting at 0 and ending at d and assign to the output variable x.
▪ Generate a column vector of 200 y-values that gives the height of the projectile corresponding to each x in the fist output and assign to the
output variable y.
Code to call your function >
d
▪ Determine the coordinates (x, y) of the peak of the trajectory (i.e. the highest value of y and the corresponding value of x) and assign as a
2-element row vector to the variable xyPeak.
Assessment:
Solve this problem using only vectorized code with no loops or if statements. Note the values of ve, theta, and ye are supplied to the function
when it is run by MATLAB grader. Be sure not to overwrite these values in your code.
Function >
1 [x, y, xyPeak] = projectileTrajectory (20, 35, 5)
1 function [x, y, xyPeak] = projectileTrajectory( vė, theta, ye )
2 %Enter the commands for your function in the space below. Use the variable names specified in
3 %the function definition command in line 1. Be sure to assign values to each of the output variables.
4
Is first output x correct for inputs (20, 35, 5)? (Pretest)
>
Is second output y correct for inputs (20, 35, 5)? (Pretest)
>
Is third output xyPeak correct for inputs (20, 35, 5)? (Pretest)
Are all three outputs correct for new input values?
Save
C Reset
> Does solution use vectorized code free of for, while, and if commands? (Pretest)
MATLAB Documentation
C Reset
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