The position in metres (as a function of time, in seconds) for a particle moving along the x-axis is given by x(t) = t
4
-2t
3 + 9t- 5. Find

(a) the instantaneous velocity of the particle at t1 = 4.00 s
(b) the instantaneous acceleration of the particle at t1 = 4.00 s

We all use gps today, even if we don't drive yet. i bet you have been in the car with a parent and they have asked you to get out your phone to find a specific location. in your car, on the phone, you are using a very sophisticated technology. gps satellites circle the earth twice a day in a very precise orbit and transmit signal information to earth. gps receivers take this information and use trilateration to calculate the user's exact location. essentially, the gps receiver compares the time a signal was transmitted by a satellite with the time it was received. the time difference tells the gps receiver how far away the satellite is. now, with distance measurements from a few more satellites, the receiver can determine the user's position and display it on the unit's electronic map. what type of signal is utilized by the gps satellite?

An asteroid is discovered in a nearly circular orbit around the sun, with an orbital radius that is 2.47 times earth's. what is the asteroid's orbital period, its "year," in terms of earth years?

What is created when solids,liquids,an gases mix with one another