Proofs of Kinematics Equations 3, 4, and 5.
Substituting Equation 1 into Equation 2
gives:
.
Solving Eq. 1 for vo,
we get:
.
Substituting this expression for vo into Eq. 2
gives:
.
Solving Eq. 1 for t we get:
.
Substituting this expression for t into Eq. 2 gives:
. QED