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 + 2 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 + 2 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

can someone plz help me

stamp · Answer

$$s'(t)=v(t)$$

stamp · Answer

$$v=\frac{\Delta s}{\Delta t}$$

stamp · Answer

$$s(t)=3sin(\pi t)+2cos(\pi t)$$$$s'(t)=v(t)$$$$s'(t)=3\pi cos(\pi t)-2\pi sin(\pi t)$$$$v(t)=3\pi cos(\pi t)-2\pi sin(\pi t)$$

$$v(1)=3\pi cos(\pi*1)-2\pi sin(\pi*1)$$$$v(2)=3\pi cos(\pi*2)-2\pi sin(\pi*2)$$