he 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 + 5 cos πt, where t is measured in seconds. (Round your answers to two decimal places.)

Find the avg velocity on the intervals
(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

he 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 + 5 cos πt, where t is measured in seconds. (Round your answers to two decimal places.)

Find the avg velocity on the intervals
(a) Find the average velocity during each time period?
i) 1,2
ii) 1,1.1
iii)1,1.01
iv)1, 1.001

rajee_sam · Answer

velocity is rate of change of distance (displacement in this case. So you have to find the first derivative of this function with respect to time.

rajee_sam · Answer

to find the interval you have to find the period of the function

anonymous · Answer

which is 6 for the first answer.  for the rest of the time intervals I did it like the first one but did not get it right.

rajee_sam · Answer

Which first answer are you talking about?

anonymous · Answer

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.) this is similar to the problem I posted, this is where my first answer was 6

anonymous · Answer

I tried the other time intervals the same way but did not get it correct, what am I doing wrong?

rajee_sam · Answer

the question asks what is the average velocity during each time period? have they given you any time period or it is time for one full cycle.

anonymous · Answer

the time period are [1, 1.1], [1, 1.01], [1, 1.001]. also i have to Estimate the instantaneous velocity of the particle when t = 1.