The displacement of a particle on a vibrating string is given by the equation s(t) = 2 + 1 5 sin(2πt) where s is measured in centimeters and t in seconds. Find the velocity of the particle after t seconds. v(t) = cm/s

The question is incomplete. Here is the complete question:

Alek went for a walk. D(t) models the distance Alek walked (in kilometers) after t hours. What does the statement D(0.5) < D(1) - D(0.5) mean?

It means that Alex traveled more distance during the second half hour than the first.

Step-by-step explanation:

Given:

The distance traveled by Alex after 't' hours = where 'D' is in km.

D(0.5) < D(1) - D(0.5).

Now, D(0.5) means distance traveled in 0.5 hours = 'x' (Let)

D(1) means distance traveled in 1 hour = 'y' (Let)

Now, D(1) - D(0.5) =

Thus, D(1) - D(0.5) is the difference between the distance traveled after 1 hour and after 0.5 hours.

So, this is nothing but the distance traveled in the second half hour.

Now, it is given that, D(0.5) < D(1) - D(0.5).

So, distance traveled in the first half hour is less than the distance traveled in the next half hour or Alex traveled more distance during the second half hour than the first.