In a 400-m race, runner A reaches her maximum velocity v_A in 4 s with constant acceleration and maintains that velocity until she reaches the half-way point with a split time of 25 s. Runner B reaches her maximum velocity ν_B in 5 s with constant acceleration and maintains that velocity until she reaches the half-way point with a split time of 25.2 s. Both runners then run the second half of the race with the same constant deceleration of 0.12m/s².Determine 

(a) The race times for both runners, 

(b) The position of the winner relative to the loser when the winner reaches the finish line.

Transcribed Image Text:

B 200 m ។ ← 200 m