Suppose the position equation for a moving object is given by

Question

Suppose the position equation for a moving object is given by s(t)=6t²-5t+4 where S is measured in meters and T is measured in seconds.

a) find the average velocity on the interval [1, 4]

b) Find the instantaneous velocity of the object when t = 2.1 seconds

c) Find the acceleration of the object when t = 1.5 seconds

Answer 1

Answer 2

a) v_av = (s(4) - s(1))/(4 - 1) = (80 - 5)/3 = 25 m/s

b) v(t) = s'(t) = 12t - 5; v(2.1) = 20.2 m/s

c) a(t) = v'(t) = 12 m/s²; a(1.5) = 12 m/s²