Answer: Yes, he is exceeding the speed limit
Explanation:
Hi!
This is problem about unit conversion
1 mile = 1,609.344 m
Then the speed limit v is:
v = 75 mi/h = 120,700.8 m/h
1 hour = 60 min = 60*60 s = 3,600 s
v = (120,700.8/3,600) m/s = 33.52 m/s
38 m/s is higher than the speed limit v.
Any force can affect the momentum of an object
if it changes the object's speed.
The main purpose of the turbine in the turbojet engine is to "<span>compress the air". There is also the added factor of pushing the air, which increases mobility. </span>
To convert parametric to Cartesian systems, you need to find a way to get rid of the t's.
In this case, the t's are inside trigonometric functions, so we're going to use a very famous trig identity you should memorize:

If we plug sin(t) and cos(t) into that equation only x and y variables will be left!
BUT there's one thing. The given cos(t + pi/6) has nasty extra stuff in it. However, part a gives you a tip on how to relate x and y to a nice clean cos(t)
So if we do a little rearranging:

Now we can plug these into the famous trig identity!

Do a little bit of adjustments to get that final form asked for, and you'll be able to find those integers of a and b. ;)
Kinematic question!
Start with your knowns!

we want to find x!
the only kineamtic that works with this info is the third!

so we plug in our values and get

this'll equal out to -159.2 meters.
our units equal out, so we know our answer is correct!