The car is moving along the road. The time dependence of the speed is described

The car is moving along the road. The time dependence of the speed is described by the equation V = 2 + t. Determine the path traveled by the car in 1 minute.

Given:
V = 2 + t
t = 1 min = 60 sec
S -?
The equation of the dependence of the speed on time V = 2 + t corresponds to the formula
uniformly accelerated speed: V = V0 + a * t,
from this formula it follows that the initial velocity V0 = 2 m / s, and the acceleration a = 1 m / s ^ 2
For uniformly accelerated motion, the path formula: S = V0 * t + a * t ^ 2/2
S = 2 * 60 + 1 * 60 ^ 2/2 = 120 + 1800 = 1920 m



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