An interactive introduction to MATLAB

86 additional exercises

The motion of a projectile

The motion of a projectile can be analysed by considering the horizontal

and vertical components. The initial velocityv 0 can be resolved into

horizontal and vertical components:

v0x=v 0 cos(θ) and v0y=v 0 sin(θ)

In the vertical direction the velocity and position of the projectile are

given by:

vy=v0y−gt and y=v0yt−^1

2

gt^2

The time it takes the projectile to reach the highest point (vy= 0 ) and

the corresponding height are given by:

thmax=v0y

g

and hmax=

v^2 0y

2g

The total flying time is twice the time it takes the projectile to reach the

highest point,ttot=2thmax. In the horizontal direction the velocity is

constant, and the position of the projectile is given by:

x=v0xt

24. Functions
    Write a user-defined function, with two input and output arguments,
    that determines the height in metres and mass kilograms of person
    from their height in inches and mass in pounds. For the function name
    and arguments use[m,kg] = STtoSI(in,lb). Use the function in the
    Command Window to determine in SI units the height and mass of a
    5 ft. 11 in. person who weighs 181 lb.


25. Functions
    Whennresistors are connected in parallel, their equivalent resistance
    Reqcan be determined from:

1

Req=

1

R 1 +

1

R 2 +...+

1

Rn

Write a user-defined function that calculatesReq. For the function name

and arguments useREQ = req(R). The input to function should be a

vector in which each element is a resistor value, and the output from the

function isReq. Use the function to calculate the equivalent resistance