Question

two buses at rest, left at 4pm from two stations that are 5km apart and travelled towards each other .if the first bus constantly accelerates at 1m.s² while the second bus constantly accelerates at 1.5m.s², calculate the distance (in km) that the first bus must travel before the two buses pass each other

Answer 1

$s_1=a_1t^2/2\to t^2=2s_1/a_1$

$s_2=a_2t^2/2\to 5000-s_1=a_2t^2/2 \to t^2=2(5000-s_1)/a_2$

$2s_1/a_1=2(5000-s_1)/a_2\to 2s_1/1=2(5000-s_1)/1.5\to$

$s_1=2000\ (m)$ . Answer