Solve the problem. If s is a distance given by s(t) = + + 40 + 10. find the acceleration, alt). Q ald) = 10 ald) = 2t + 4 O alt) = 2 O ald) = 2t

C

Step-by-step explanation:

Remember that if s(t) is a position function then:

is the velocity function and

is the acceleration function.

So, to find the acceleration, we need to solve for the second derivative of our original function. Our original function is:

So, let's take the first derivative first with respect to t:

Expand on the right:

Use the power rule. Remember that the derivative of a constant is 0. So, our derivative is:

This is also our velocity function.

To find acceleration, we want to second derivative. So, let's take the derivative of both sides again:

Again, expand the right:

Power rule. This yields:

So, our answer is C.

And we're done!

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²