The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 4 sin πt + 3 cos πt, where t is measured in seconds. (Round your answers to two decimal places.)
(a) Find the average velocity during each time period?
i) 1,2
ii) 1,1.1
iii)1,1.01
iv)1, 1.001????

Question

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 4 sin πt + 3 cos πt, where t is measured in seconds. (Round your answers to two decimal places.)
 (a) Find the average velocity during each time period?
i) 1,2
ii) 1,1.1
iii)1,1.01
iv)1, 1.001????

anonymous · Answer

first we need $s(1)=4\sin(\pi)+5\cos(\pi)=4\times 0+5\times -1=-5$  we keep that number
then we need a calculator

anonymous · Answer

your next job is to compute 
$$\frac{s(2)-s(1)}{2-1}=\frac{s(2)+5}{1}=s(2)+5$$
$$\frac{s(1.1)-s(1)}{1.1-1}=\frac{s(1.1)+5}{.1}=10\times (s(1.1)+5)$$
and so on

anonymous · Answer

the first one  you can do without a calculator, but not the others

anonymous · Answer

first one is $10$ since $\sin(2\pi)=0$ and $\cos(2\pi)=1$ you get $5+5=10$

anonymous · Answer

second one needs help http://www.wolframalpha.com/input/?i=10*%284sin%281.1*pi%29%2B5cos%281.1*pi%29%2B5%29