Question

A particle moves along a straight a) The average velocity on the line with equation of motion interval [3,4] s= f(t) = t? - 60 + 10, b) The instantaneous velocity. Where S is measured in meters and t in seconds. find the C) The instantaneous velocity when following: t = 4 seconds. The growth of a bacterial population is represented by the function f(t) = 1 + 5t - 2t2 Where t is the time measured in hours find the following: a) The average growth rate during the interval (0,2] b) The instantaneous rate of change of growth. C) The instantaneous rate of change of growth when t = 2 hours.

Answer 1

A particle moves along a straight a) The average velocity on the line with equation of motion interval [3,4], s = f(t) = {2 - 60 + 10, b) The instantaneous velocity. Where S is measured in meters and t in seconds. find the C) The instantaneous velocity when t = 4 seconds. following: (9) Aug velocity - 114 - f13) (6-4) 4-3 2 fct = t-67 +10 = 49–674 +6 (34–643 ha) -- = 1 mes Ary (63) Sustan fenous velocity dfer) c = at 017-54+00) df Aus - 2t-6 ) Instanterocy Velocity at t= 4 = 2x4-6 c 2 mys Aug