Answer :
Final answer:
The maximum acceleration and velocity can be determined by finding the first and second derivatives of the position function. the correct answer is d) 23 ft/s², 159 ft/s.
Explanation:
The maximum acceleration and velocity can be determined from the position function by taking the first and second derivatives of the function, respectively.
Let's assume the position function is represented by x(t). To find the maximum acceleration, we take the second derivative of x(t) with respect to time (t), which will give us the acceleration function a(t).
To find the maximum velocity, we take the derivative of x(t) with respect to time (t), which will give us the velocity function v(t).
Therefore, the correct answer is d) 23 ft/s², 159 ft/s.
