velocity is the slope (which can be calculated after finding the derivative) → given function f(x), velocity = f'(x).
acceleration is the slope of the velocity (which can be calculated after finding the derivative of the velocity) → given function f(x), acceleration is f''(x)
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1a) A → B
f(x) = [tex]\frac{25}{3}x + 10[/tex]
f'(x) = [tex]\frac{25}{3}[/tex]
1b) B → C
f(x) = [tex]\frac{-15}{3}x + 50[/tex]
f'(x) = [tex]\frac{-15}{3}[/tex] = -5
1c) C → D
f(x) = 20
f'(x) = 0
Hope this helps!
