# math

posted by
**feysal**
.

A particle is traveling along a one-dimensional path (such as a number line). The position of the particle is

governed by the time function x(t) ƒ 3t 4 ƒ{16t3 ƒy18t 2 ƒy 2 , where t is in minutes and 0 „T t „T 5 . Answer the

following questions.

a) At what times is the particle stationary?

b) For which time intervals is the particle moving in a positive direction? A negative direction?

c) What is the particle¡¦s most positive position? Most negative position?

d) What is the particle¡¦s displacement? What is the total distance the particle has traveled?

e) When does the particle¡¦s acceleration undergo a sign change? What is the particle¡¦s acceleration at the

times when the particle is stationary?

f) Sketch a graph (on a t-x coordinate plane) of the particle¡¦s position using the information above.