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Lesson 10 (Linear motion) - Coggle Diagram
Lesson 10 (Linear motion)
Definition of terms
Displacement
Velocity
rate of
change of displacement
SI unit: [m/s]
V = ds/dt
v = velocity
s = displacement
t = time[s]
Acceleration
a = dv/dt = d^2s/dt^2
a = acceleration [m/s^2]
v = velocity [m/s]
t = time [s]
s = displacement [m]
Area under graph
For constant velocity, Total displacement
= Velocity x time taken
= Area under the graph
Uniform motion for constant acceleration
v = u + at
a = v-u/t
v^2 = u^2 + 2a (Sf - Si)
Sf = Si + ut + 1/2at^2
v = final velocity [m/s]
u = initial velocity [m/s]
a = acceleration [m/s^2]
Sf = final position [m]
Si = initial position
t = time taken [s]
Differentiation
Quanitity function (f(t)) -[differentiate]- rate of change function (f'(t))
Displacement function (s(t)) -[differentiate]- velocity function (v(t))
Velocity function (v(t)) -[differentiate]- acceleration function (a(t))
d/dx(ax^n) = nax^n-1
Integration
Rate of change function (f'(t)) -[integrate]- quantity function (f(t) = l f'(t)dt)
Velocity function (v(t)) -[integrate]- Displacement function (s(t) = l v(t)dt)
Equation of graph (f(x)) -[integrate]- area under graph (A(x) = l f(x)dx)
ax^n dx = (ax^n+1/n+1) +c