Final answer:
To determine the magnitude of the particle's velocity when t = 0.5 s, we need to substitute t = 0.5 s into the expression for x.The magnitude of the particle's velocity when t = 0.5 s is 0.25 m/s.
Step-by-step explanation:
To determine the magnitude of the particle's velocity when t = 0.5 s, we need to substitute t = 0.5 s into the expression for x.
x = (4t^4) m
Substituting t = 0.5 s, we get x = (4(0.5)^4) m = 4(0.0625) m = 0.25 m.
Therefore, the magnitude of the particle's velocity when t = 0.5 s is 0.25 m/s.