Question

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 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]
cm/s

(ii) [1, 1.1]
cm/s

(iii) [1, 1.01]
cm/s

(iv) [1, 1.001]
cm/s


(b) Estimate the instantaneous velocity of the particle when t = 1.
cm/s

Answer 1

whr r u stuck

Answer 2

i want to find the average velocity? ques 1a

Answer 3

find displacement at t = 1 and t = 2

subtract the values

divide by time taken

Answer 4

can u explain litte more

Answer 5

ok , do the first step

find displacement at t = 1 and t = 2

Answer 6

how??

Answer 7

plug in t = 1 in the equation

Answer 8

i got -3.

Answer 9

then??

Answer 10

hello?/

Answer 11

cool

Answer 12

sorry, internet issues

what do u get for t = 2