Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t. a=16, v(0) = -14, s(0) = -8

The  position at time t  is  

Step-by-step explanation:

From the question we are told that

   The acceleration is  

   The velocity at t = 0  is  

    The  position at time t =  0  is

Generally acceleration is mathematically represented as

=>  

=>  

integrating both sides we have    

=>  

Now at t = 0  

=>  

So

Generally the position of the body is mathematically represented as

So

So  

Now  at t =  0

=>    

So

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d