The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 3 sin πt + 4 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]

Question

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 3 sin πt + 4 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]

anonymous · Answer

$$v(s)=s \prime(t)$$
average velocity is the gradient
$$f(x)-f(x _{1})/x-x _{1}=f(1)-f(2)/(1-2)$$
$$s(1)=3\sin \pi+4\cos \pi=-4$$
$$s(2)=3\sin 2\pi+4\cos 2\pi=4$$
$$s(1)-s(2)/1-2=-4-4/-1=8$$
8cm per second