s = 4 sin(πt) + 2 cos(πt)
I will do the 2nd one, you do the others in the same way
when t = 1, s = 4 sin π + 2 cos π = 0 - 2 = -2
when t = 1.1, s = 4 sin (1.1π) + 2 cos (1.1π) = -3.138 (make sure your calculator is set to radians)
∆s/∆t = (-3.138 + 2)/(1.1-1) = appr -11.38
SHOW WORK PLEASE!!!!!
The displacement (in centimetres) of a particle moving back and forth along a straight line is given by the equation of motion s = 4 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]
(ii) [1, 1.1]
(iii) [1, 1.01]
(iv) [1, 1.001]
1 answer
3 answers