Remember those magical rainbow farts
The rainbows we see come from those (wink wink)
Unicorns don't always shoot straight up; they tend to go over
things like a ravine.
Let's find out just how wide a ravine the unicorn can jump over.
We are going to use the same numbers additionally the angle that
the unicorn shoots is ø= 45 degrees.
http://www.deviantart.com/download/151273843/Unicorns_Fart_Rainbows__3_by_thunderwolf900.png
We use one of the
Kinematic
Equations again:
x= x0+v(x)t
v
x=
v(u)cosø
We are saying that x
0
is 0 on our coordinate plane so
x=
v(u)cosø*t
=
3078.79*cos(45)*5
= 10885.17 m
The unicorn could jump over a 10885 meter ravine
We'll also see how high it goes during the jump:
y= y0+v(y)t-(1/2)gt^2
v
y=
v(u)sinø
v
0 is also 0 on our
coordinate system
y=
v(u)sinø*t-(1/2)gt^2
=
3078.79*sin(45)*5-.5*9.8*25
= 10762.67 m
As you can see, the height is smaller on the curved jump than the
vertical jump
Courtney
Cieplik
http://astrofix.net/wp-content/uploads/2011/02/Optimized-unicorn-cloud.jpg