AP Physics C Unit 1
(GRAPHING) How to find critical points - ANSWER✅✅✅Set f'(x) (aka v) = 0 and solve for t, plug back
into f(x); points: (t's, Δx's)
(GRAPHING) How to find intercepts - ANSWER✅✅✅Set f(x) (aka Δx) = 0 and solve for t; points: (t's,
0)
(GRAPHING) How to find points of inflection - ANSWER✅✅✅Set f"(x) (aka a) = 0 and solve for t, plug
back into f(x); points: (t's, Δx's)
Acceleration (a) - ANSWER✅✅✅dv/dt, ∫vdt (DO NOT FORGET THE COSTLY C)
Average Acceleration - ANSWER✅✅✅Δv/Δt
Average Velocity - ANSWER✅✅✅Δx/Δt
Constant Rule - ANSWER✅✅✅The derivative of a constant is 0
Displacement (Δx) - ANSWER✅✅✅∫vdt (DO NOT FORGET THE COSTLY C)
Fifth Kinematic (missing what, formula) - ANSWER✅✅✅Missing v₀, Δx = vt-½at^2
Fourth Kinematic (missing what, formula) - ANSWER✅✅✅Missing a, Δx = ½(v₀ + v)t
Power Rule (derivatives) - ANSWER✅✅✅Multiply coefficient by power, drop degree by 1 (aka kt^n
becomes nkt^(n-1))
Rewop Rule (integrals) - ANSWER✅✅✅Add 1 to the degree, divide coefficient by new degree (aka
kt^n becomes (k/(n+1))t^(n+t))
(GRAPHING) How to find critical points - ANSWER✅✅✅Set f'(x) (aka v) = 0 and solve for t, plug back
into f(x); points: (t's, Δx's)
(GRAPHING) How to find intercepts - ANSWER✅✅✅Set f(x) (aka Δx) = 0 and solve for t; points: (t's,
0)
(GRAPHING) How to find points of inflection - ANSWER✅✅✅Set f"(x) (aka a) = 0 and solve for t, plug
back into f(x); points: (t's, Δx's)
Acceleration (a) - ANSWER✅✅✅dv/dt, ∫vdt (DO NOT FORGET THE COSTLY C)
Average Acceleration - ANSWER✅✅✅Δv/Δt
Average Velocity - ANSWER✅✅✅Δx/Δt
Constant Rule - ANSWER✅✅✅The derivative of a constant is 0
Displacement (Δx) - ANSWER✅✅✅∫vdt (DO NOT FORGET THE COSTLY C)
Fifth Kinematic (missing what, formula) - ANSWER✅✅✅Missing v₀, Δx = vt-½at^2
Fourth Kinematic (missing what, formula) - ANSWER✅✅✅Missing a, Δx = ½(v₀ + v)t
Power Rule (derivatives) - ANSWER✅✅✅Multiply coefficient by power, drop degree by 1 (aka kt^n
becomes nkt^(n-1))
Rewop Rule (integrals) - ANSWER✅✅✅Add 1 to the degree, divide coefficient by new degree (aka
kt^n becomes (k/(n+1))t^(n+t))
