A car X is travelling at a constant speed u along a straight road. At time t = 0 a second car Y is a distance d₀ behind car X and travelling at a speed v in the same direction. Speed v is less than speed u. [Figure 6.1] At time t = 0 car Y begins to accelerate with a constant acceleration. Car Y overtakes car X at time t = T. Which graph could best show the variation with time t of the distance d between the cars? [Figure 6.2]
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✓ Correct answer
B: Graph showing d decreasing with time t, with a concave up curve, reaching 0 at time T and then increasing again.
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