The car starts off with an acceleration of 2 m / s2, what is its movement in 6s, what speed it will pick up during this time.

In this problem, we are dealing with uniformly accelerated rectilinear motion,

then the displacement can be calculated by the formula S = V0 * t + 1/2 * a * t ^ 2, where V0 is the initial speed, a is the acceleration, and t is the time.

Since the car starts to move, then V0 = 0, then S = 1/2 * a * t ^ 2.

Let’s substitute our values:

S = 1/2 * 2 * 6 ^ 2 = 36 (m).

The equation of speed of rectilinear uniformly accelerated motion can be found as a derivative of the equation of displacement, then V = (V0 * t + 1/2 * a * t ^ 2) ‘= V0 + a * t.

Substitute the values: V = 0 + 2 * 6 = 12 (m / s), that is, the speed of 12 (m / s) will pick up the car in 6 seconds.

Answer: 36 (m), 12 (m / s).



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