Final answer:
To find the displacement of a particle moving back and forth along a straight line between t = 0 and t = 5.0 s, substitute the values of t into the equation and evaluate it.
Step-by-step explanation:
The displacement of a particle moving back and forth along a straight line is given by the equation of motion s = 3sin(πt) + 5cos(πt), where t is measured in seconds.
To find the displacement between t = 0 and t = 5.0 s, substitute the values of t into the equation and evaluate: s = 3sin(π(5.0)) + 5cos(π(5.0))
Simplifying the expression gives the final displacement value in centimeters.