The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s=2sin(pi)t+3cos(pi)t, where t is measured in seconds.
(a) Find the average velocity during each time period:
(i) [1, 2] (ii) [1, 1.1]
(iii) [1, 1.01] (iv) [1, 1.001]
(b) Estimate the instantaneous velocity of the particle when t=1 .

Question

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s=2sin(pi)t+3cos(pi)t, where t is measured in seconds.
(a) Find the average velocity during each time period:
(i) [1, 2] (ii) [1, 1.1]
(iii) [1, 1.01] (iv) [1, 1.001]
(b) Estimate the instantaneous velocity of the particle when t=1 .

anonymous · Answer

average velocity V=s/t,
so, find desplacement at t=1 and t=2, s_1 and s_2 later do this v=s_2-s_1/t_2-t_1,
that's it