First is something in which you might ride
when it is warm and nice outside.
Reverse the first and add a bit,
and you'll see where the first might sit.

Add E to that, move front to rear,
And now a terrible noise you'll hear!
Move last back to first and add an R
to see one who could find you, near or far.

Pluck out the letter you added back, when
a smoky projectile you will see then.
Now drop the letter which in first was last
And you will see someone who goes very fast.

Remove the C and swap middle two
to find out what's in back of you.
Now drop the A and give a good shake:
You'll see this was all a big mistake!