{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# lab8 - CSC 113 Fall 2010 Lab Assignment 8 The various...

This preview shows pages 1–2. Sign up to view the full content.

CSC 113, Fall 2010 Lab Assignment 8 The various commands below are to be typed into the command window; observe their outputs. 1. Projectile trajectory! From basic physics, the x and y displacements of a projectile fired at an initial velocity v 0 with an angle θ with respect to the horizontal, as a function of time t , are given by x ( t ) = v 0 t cos θ y ( t ) = v 0 t sin θ - 1 2 gt 2 Here g = 9 . 8m / sec 2 is the acceleration due to gravity. We can set up symbolic expressions in M ATLAB as follows: >> syms v0 t theta g >> x_of_t = v0 * t * cos (theta) >> y_of_t = v0 * t * sin (theta) - (1/2) * g * tˆ2 2. The solve function will set an expression to zero, and then solve for the variable so declared. The impact time is obtained for values of t such that y ( t ) = 0 . This can be computed symbolically as >> impact_time = solve(y_of_t,t) Does it make sense that impact ¯ time has two solutions? 3. The subs function allows substitution of one variable by another, or by a value. For example, if >> E1 = sym(’a * xˆ2 + b * x + c’)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
then >> subs(E1, ’x’, ’y’) will substitute y
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

lab8 - CSC 113 Fall 2010 Lab Assignment 8 The various...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online