PHYSICS KINEMATICS PLEASE HELP

Question

In an historical movie, two knights on horseback start from rest 73.7 m apart and ride directly toward each other to do battle. Sir George's acceleration has a magnitude of 0.290 m/s2, while Sir Alfred's has a magnitude of 0.381 m/s2. Relative to Sir George's starting point, where do the knights collide?

Answer 1

d = initial separation distance = 73.7 m

a₁ = acceleration of George = 0.290 m/s²

a₂ = acceleration of Alfred = 0.381 m/s²

 

x = 0 is George's starting point

 

If the accelerations are constant, they collide when

 

a₁t²/2 = d - a₂t²/2

 

Solve for t.  Once you have t, get the point x where they collide from

 

x = a₁t²/2

 

Can you finish from here?