Exercise 1: Define the trajectory function The partial code for this function is shown in the cell below. Do the following: Replace raise NotImplementedError() with code that starts with y = and calculates the value of y according to Eq. (3.4.8).
Exercise 1: Define the trajectory function The partial code for this function is shown in the cell below. Do the following: Replace raise NotImplementedError() with code that starts with y = and calculates the value of y according to Eq. (3.4.8).
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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Exercise 1: Define the trajectory function
The partial code for this function is shown in the cell below. Do the following:
- Replace raise NotImplementedError() with code that starts with y = and calculates the value of y according to Eq. (3.4.8).
Transcribed Image Text:Next, we define a function y(x, 0) that describes the trajectory, i.e. the height y above ground vs. horizontal distance x and launch angle 0. This function is
given by Eq. (3.4.8) in the lab manual:
y(x) =
g
2u² cos² (0)
− x² + tan(0) x + H
![In [1]:
Notes:
Python, like most other programming languages, expects the arguments of trigonometric functions in radians. However, we'd like to work in degrees, so
that's what the second argument of our function y(x, 0) will be. Inside the function, the angle in degrees theta_deg is converted to radians
(theta_rad) by multiplying it with The cosine and tangent functions are provided by the numpy module, so call them as np.cos(theta_rad)
and np.tan (theta_rad).
180°
• The expression you are going to code has a fraction with multiple factors in the denominator. You may need to use parentheses () to enforce the correct
order of operations. Remember, operations with the same priority (e.g. multiplication and division) will be carried out in their order of appearance (from left
to right), unless parentheses are used.
• However, parentheses should be used sparingly, i.e. only where really needed. For example, the expression
3x²
5x+2
●.
could be coded as
or
(3* (x) **2/ (( 5* (x) +2 ) ) )
3*x**2 (5*x+2)
Both codes return the same value, but the second example is much easier to read for us humans!
• The multiplication operator * is mandatory! For example, 2v? must be coded as 2*vi**2.
g = 9.8
vi = 2.865
H = 0.3347
▾def y(x, theta_deg):
theta_rad = theta_deg*np.pi/180
# YOUR CODE HERE
raise Not ImplementedError()
return y
#free-fall acceleration
#initial velocity. REPLACE WITH YOUR OWN VALUE
# initial height. REPLACE WITH YOUR OWN VALUE
# The colon (:) at the end of the "def" line is mandatory
#angle unit conversion. pi=3.141... is defined in numpy,
#hence the np. prefix
II
# this is the value that the function "returns'](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0fdd9be-9990-44a9-8005-60989cbb2f12%2F3f9f01b7-483f-418d-abba-3e83f6552329%2Frtj12f_processed.png&w=3840&q=75)
Transcribed Image Text:In [1]:
Notes:
Python, like most other programming languages, expects the arguments of trigonometric functions in radians. However, we'd like to work in degrees, so
that's what the second argument of our function y(x, 0) will be. Inside the function, the angle in degrees theta_deg is converted to radians
(theta_rad) by multiplying it with The cosine and tangent functions are provided by the numpy module, so call them as np.cos(theta_rad)
and np.tan (theta_rad).
180°
• The expression you are going to code has a fraction with multiple factors in the denominator. You may need to use parentheses () to enforce the correct
order of operations. Remember, operations with the same priority (e.g. multiplication and division) will be carried out in their order of appearance (from left
to right), unless parentheses are used.
• However, parentheses should be used sparingly, i.e. only where really needed. For example, the expression
3x²
5x+2
●.
could be coded as
or
(3* (x) **2/ (( 5* (x) +2 ) ) )
3*x**2 (5*x+2)
Both codes return the same value, but the second example is much easier to read for us humans!
• The multiplication operator * is mandatory! For example, 2v? must be coded as 2*vi**2.
g = 9.8
vi = 2.865
H = 0.3347
▾def y(x, theta_deg):
theta_rad = theta_deg*np.pi/180
# YOUR CODE HERE
raise Not ImplementedError()
return y
#free-fall acceleration
#initial velocity. REPLACE WITH YOUR OWN VALUE
# initial height. REPLACE WITH YOUR OWN VALUE
# The colon (:) at the end of the "def" line is mandatory
#angle unit conversion. pi=3.141... is defined in numpy,
#hence the np. prefix
II
# this is the value that the function "returns'
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