Question

A particle moves with the equation s(t)=t^2 -3t +2 where t is seconds and s(t) is meters
A. When is the particle at rest
B. what is the average velocity over the first 5 secs
C. What is the average velocity on the interval [4,5]
D. What is instantaneous velocity at 5 secs?

Answer 1

the answer of a is 1.5 sekon..,
V =0, V = ds(t)/dt = d/dt (t^2 -3t +2) = 2t -3;
V = 2t -3. If V =0, so
0 = 2t-3;
t=3/2 = 1.5 sekon
please wait for other.,