Masses and undergo a head-on elastic collision in one dimension

PHYSICS · Subjective · AP · Physics C: Mechanics · Linear Momentum · Linear Momentum

Problem

Masses

m_1

and

m_2

undergo a head-on elastic collision in one dimension. Their initial speeds are

v_{1i}

and

v_{2i}

, respectively. Derive an expression for the final speed

v_{1f}

of mass

m_1

in terms of

m_1

m_2

v_{1i}

, and

v_{2i}