Answer to Question #125190 in Physics for qwerty

Question #125190
A subway train starts from rest at a station and accelerates at a rate of 1.6 m/s2 for 14 s. It runs at constant speed for 70 s and slows down at a rate of 3.5 m/s2 until it stops at the next station. Find the total distance covered in meters
1
Expert's answer
2020-07-06T15:25:31-0400

The total distance covered by a subway


d=d1+d2+d3d=d_1+d_2+d_3

Here

d1=a1t122=1.6×1422=1568md_1=\frac{a_1t_1^2}{2}=\frac{1.6\times 14^2}{2}=1568\:\rm m

d2=v2t2=(a1t1)t2=1.6×14×70=1568md_2=v_2t_2=(a_1t_1)t_2=1.6\times 14\times 70=1568\:\rm m

t3=v2/a3=1.6×14/3.5=6.4st_3=v_2/a_3=1.6\times 14/3.5=6.4\:\rm s

d3=v2+02t3=1.6×14+02×6.4=71.68md_3=\frac{v_2+0}{2}t_3=\frac{1.6\times 14+0}{2}\times 6.4=71.68\:\rm m

Finally


d=1568+1568+71.68=3207.68md=1568+1568+71.68=3207.68\:\rm m

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