The position of an object at time t is given by s(t) = 1 - 12t. find the instantaneous velocity at t = 2 by finding the derivative.

The velocity of the object at t=2 is 12m/s in opposite direction.

Step-by-step explanation:

The given function is

Differentiate with respect to time.

We know the change in displacement with respect to time is known as velocity.

It is a constant function. So, the velocity of object is same for any value t.

At t=2,

Negative sign represents the velocity in opposite direction.

Therefore the velocity of the object at t=2 is 12m/s in opposite direction.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)