Y | * * * (Maximum Height, H) | * * | * * | * * | * \ \theta * O---------------------------*---- X |<--------- Range, R ---------->| 1. Trajectory Equation The horizontal distance covered in time
ml2α=−mgx⟹α=−(gl)xm l squared alpha equals negative m g x ⟹ alpha equals negative open paren g over l end-fraction close paren x Since angular acceleration in SHM is defined as , comparing them yields:
Gravitation applies field theory to explain planetary motion, orbits, and planetary escape velocities. 1. Variation of Acceleration Due to Gravity ( At Earth's surface: Dividing the expressions:
:a_c = \lim_\Delta t \to 0 \frac{\vert{}\Delta \mathbfv\vert{}}\Delta t = \fracvr \left(\lim_\Delta t \to 0 \frac\vert{}\Delta \mathbfr\vert{}}\Delta t\right) = \fracvr \cdot v = \fracv^2r 3. Banking of Roads