Question #122515

A car and a truck are initially moving in the same direction at 20 m/s with the truck 38m ahead.the car accelerate at a constant 2m/s^2 passes the truck and return to the right lane when it is 11m ahead of the truck.how far has the truck moved during this time?

Expert's answer

"(v+at)^2-v^2=2a(d+s_1+s_2)\\\\a^2t^2+2vat=2a(d+s_1+s_2)\\\\a^2\\frac{d^2}{v^2}+2va\\frac{d}{v}=2a(d+s_1+s_2)\\\\(2)^2\\frac{d^2}{20^2}+2(20)(2)\\frac{d}{20}=2(2)(d+11+38)"

"d=140\\ m"

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