Answer:
Zero, the support force and gravitational force together equal a zero net force
Explanation:
The exponential decay function is shown as:
At = Ao*2^(-t/h)
Where:
At = Final amount
Ao = original amount
t = time
h = years for half-life to occur
We are not given the original and final amounts, but we are told that after the certain amount of time had passed, only 5% had remained. So if we were to isolate At and Ao in one side of the equation, such that: At/Ao = 0.05, we can solve for the missing variable, which is t.
Substituting:
<span>At/Ao = 2^(-t/h)
</span>0.05 = <span>2^(-t/20)
t = 86.44 years
Therefore, the pottery was made approximately 86.44 years ago.</span>
Answer:
72
Explanation:
The displacement of an object can be found from the velocity of the object by integrating the expression for the velocity.
In this problem, the velocity of the sport car is given by the expression

In order to find the expression for the position of the car, we integrate this expression. We find:

where C is an arbitrary constant.
Here we want to find the displacement after 3 seconds. The position at t = 0 is

While the position after t = 3 s is

Therefore, the displacement of the car in 3 seconds is
