An objects acceleration decreases exponentially with time: a(t)= a0e^−bt , where a 0 and b are constants. assuming the object starts from rest, determine its velocity as a function of time.

i got -(a0/b)e^-bt and it's wrong. i will apreciate your .

Explanation:

The acceleration of an object decreases exponentially with time as :

We know that, the relation between the velocity and the acceleration is given by :

Put the value of a(t) in above equation. So,

At t = 0, v(t) = 0

So,

So, its velocity is given by :

Hence, this is the required solution.

305.7

explanation:

density =m/v

density =917/3.00

density = 305.

approximately = 305.7

in four significant figures