Question

Two   objects   (object   A   and   object   B)   are   moving   with   constant   velocities   (VA=30(m/s),   VB=40(m/s))   in   the   same   direction.   Object   B   is   behind   object   A.       At   the   moment   that   the   distance   between   them   is   15(m)   object   A   accelerates   with   aA   =   1   (m/s^2)   and   object   B   decelerates   with   aB   =   -3(m/s).

Are   they   going   to   hit   each   other?   (show   your   work)  

Answer 1

z +10mis Ans. From object A reference frame). Distance between A and B= 15m Initial Velocity of B with respect to a acceleration of B wart A from A's perspective, first B velocity will VA=VB then B will approach -1-3 = -4mis² decrea crease S:1 В. 4. T z I+T₂ totas Time when B Velocity collides A こわ T t T

(1,2) v=urat 0 - 10 - 4.t 10 =(2.5 Sece ] 4 I-:) 2 Scut +1 at 2 2 2 15= o.t+ 4 +2 2 15= 2t? t = 87.5 = 2.74 See 2 Total time = 5.24 Sec.