A particle moves along a straight line and its position at time t is given by s(t)= 2t^3 - 27 t^2 + 84t?

Question

where s is measured in feet and t in second

a. what is the TOTAL distance the particle travels between time 0 and time 18?

b.the particle stops moving (i.e. is in a rest) twice, once when t=A and again when t=B where A < B. A is

A= 2 and B IS ??

THANKS

Answer 1

The function of question a is strange!

But:

(2 * (18^3)) - (27 * (18^2)) + (84 * 18) = 4 428

question b is incomplete!