For a freely falling object, a(t) = - 32 ft/sec^2, v(0) = initial velocity = v0 (in ft/sec), and s(0) = initial height = s0 (in ft). find a general expression for s(t) in terms of v0 and s0.

Step-by-step explanation:

Let's use the definition of acceleration.

If we take the integral in both sides we will have:

a(t) = -32, so it is independent of time.

we can assume that

(1)

Using the definition of v(t) as the derivative of s (height) with t (time) we have:

(2)  

Taking the integral in both sides we can find s(t), and using (1) we have:

Using (1) in (2)

solving this integral, we have:

Finally, let's solve this equation for s(t).

Have a nice day!

it's

7.3

step-by-step explanation: