AP Physics C-Mechanics: Terms, Concepts, and Formulae 2024
1.Vector - Answer>> A quantity that involves both magnitude and direction
2.Scalar - Answer>> A quantity that does not involve direction; Only has magnitude
3.Magnitude of a Vector - Answer>> |A| or ||A||
=√((Ax)^2+(Ay)^2)
4.Angle or Direction of a vector - Answer>> θ=tan⁻¹(Ay/Ax)
5.Dot product - Answer>> The multiplication of two vectors which results in a scalar. A·B=|A||B|
cosθ=AxBx+AyBy
6.Cross product - Answer>> The multiplication of two vectors which results in a vector.
A × B=<(AyBz-ByAz),(AzBx-BzAx),(AxBy-BxAy)>
7.Speed - Answer>> v, distance over time, scalar, m/s
8.Velocity - Answer>> v, displacement over time, vector, m/s
9.Equation for Velocity - Answer>> v=∆s/∆t=ds/dt=∫a dt 10.Acceleration - Answer>> a, change in velocity over time, m/s²
11.Equation for Acceleration - Answer>> a=∆v/∆t=dv/dt=d²s/dt²
12.Kinematic equation without acceleration - Answer>> ∆x=x-x₀=vt
13.Kinematic equation without displacement - Answer>> v=v₀+at
14.Kinematic equation without final velocity - Answer>> x=x₀+v₀t+½at²
15.Kinematic equation without initial velocity - Answer>> x=x₀+vt-½at²
16.Kinematic equation without time - Answer>> v²=v₀²+2a(x-x₀)
17.Equation for position - Answer>> s=∫v dt=∫(∫a dt)dt
18.Value of gravity on earth - Answer>> g=9.80 m/s²≈10.0 m/s²
19.Formula for displacement of horizontal component projectile motion - Answer>> ∆x=v₀t (v₀ is the initial horizontal velocity)
1.Vector - Answer>> A quantity that involves both magnitude and direction
2.Scalar - Answer>> A quantity that does not involve direction; Only has magnitude
3.Magnitude of a Vector - Answer>> |A| or ||A||
=√((Ax)^2+(Ay)^2)
4.Angle or Direction of a vector - Answer>> θ=tan⁻¹(Ay/Ax)
5.Dot product - Answer>> The multiplication of two vectors which results in a scalar. A·B=|A||B|
cosθ=AxBx+AyBy
6.Cross product - Answer>> The multiplication of two vectors which results in a vector.
A × B=<(AyBz-ByAz),(AzBx-BzAx),(AxBy-BxAy)>
7.Speed - Answer>> v, distance over time, scalar, m/s
8.Velocity - Answer>> v, displacement over time, vector, m/s
9.Equation for Velocity - Answer>> v=∆s/∆t=ds/dt=∫a dt 10.Acceleration - Answer>> a, change in velocity over time, m/s²
11.Equation for Acceleration - Answer>> a=∆v/∆t=dv/dt=d²s/dt²
12.Kinematic equation without acceleration - Answer>> ∆x=x-x₀=vt
13.Kinematic equation without displacement - Answer>> v=v₀+at
14.Kinematic equation without final velocity - Answer>> x=x₀+v₀t+½at²
15.Kinematic equation without initial velocity - Answer>> x=x₀+vt-½at²
16.Kinematic equation without time - Answer>> v²=v₀²+2a(x-x₀)
17.Equation for position - Answer>> s=∫v dt=∫(∫a dt)dt
18.Value of gravity on earth - Answer>> g=9.80 m/s²≈10.0 m/s²
19.Formula for displacement of horizontal component projectile motion - Answer>> ∆x=v₀t (v₀ is the initial horizontal velocity)
