The acceleration equation can be found by differentiatind the position equation twice. The derivative can be found by using the power rule where if

Using this to differentiate the position equation gives

Repeating this process we can find the acceleration equation.

Using the acceleration equation, we can now find the acceleration at time .

The acceleration of the object can be found by differentiating the velocity equation. To do this we can use the power rule and the chain rule where if 

and where if 

Using these two rules we find the acceleration equation to be

We can now solve for the acceleration at time 

The acceleration of the object can be found by differentiating the velocity equation. To accurately differentiate the velocity equation, the quotient rule can be used where if 

Using this equation with the velocity equation gives us

The acceleration of the object can be found by differentiating the velocity equation. The velocity equation can be accurately differentiated using the quotient rule and the power rule where if

and if 

Using these two rules we find that the acceleration equation is

We can now find the acceleration at 

The acceleration of the object is the derivative of the velocity of the object. To differentiate the velocity equation we can use the power rule, chain rule, and product rule. The power rule is where if

The chain rule is where if

Lastly, The product rule is where if

Using these rules the acceleration equation is 

The acceleration, a, of a particle is given by

Thus using the power rule and the chain rule we can find our acceleration.

Taking the derivative once we get the velocity.

Taking the derivative a second time we get the acceleration.

Plugging in at  we find

.

Where we used the fact that .

The acceleration of the object is equal to the derivative of the object's velocity. To accurately differentiate the the velocity of the object we must use the product rule where if 

.

Using this rule we find the acceleration to be 

.

The acceleration of the object can be found by differentiating the position of the object twice. This can be done using the power rule where if

.

Therefore the velocity of the object is

.

This is repeated to find the acceleration of the object

.

The acceleration of the object can be found by differentiating the velocity. To differentiate the velocity accurately the chain rule and power rule can be used where if

and if 

.

Differentiating the velocity equation we get, 

.

We can now solve for the acceleration at 

The acceleration can be found by differentiating the velocity of the object. This can be done accurately using the power rule, chain rule, and product rule where if

if

and if

.

Therefore the acceleration of the object is

.