Two cars on a straight-line section of the highway move away from each other at speeds whose modules
Two cars on a straight-line section of the highway move away from each other at speeds whose modules are u1 = 70 km / h and u2 = 62 km / h, respectively. At the initial moment of time, the distance between the cars is l1 = 600 m. What will be the distance between them after the time interval delta t = 2.0 minutes?
V1 = 70 km / h = 19.4 m / s.
V2 = 62 km / h = 17.2 m / s.
l1 = 600 m.
Δt = 2 min = 120 s.
l2 -?
The distance between cars l2 will be determined by the formula: l2 = l1 + S1 + S2, where l1 is the distance between them at the initial moment of time, S1 is the distance traveled by the first car, S2 is the distance traveled by the second car.
With uniform movement, the distance traveled is determined by the formula: S1 = V1 * Δt, S2 = V2 * Δt.
l2 = l1 + V1 * Δt + V2 * Δt.
l2 = 600 m + 19.4 m / s * 120 s + 17.2 m / s * 120 s = 4992 m.
Answer: the distance between cars will be l2 = 4992 m.