A car moving with an acceleration of 0.6m / s² had an initial speed of 10m / s, find the speed of the car in 3 s from

A car moving with an acceleration of 0.6m / s² had an initial speed of 10m / s, find the speed of the car in 3 s from the start of movement if the initial speed and acceleration are opposite to each other.

It is known from the condition of the problem that the initial speed of the vehicle and its acceleration are directed opposite to each other. This means that a braking force acts on the body. Let’s choose a frame of reference in such a way that its positive semiaxis is directed along the movement of the car. Then its initial velocity will have a positive value of the projection on the coordinate axis v₀ = 10 m / s, and the acceleration will be negative a = – 0.6 m / s ^ 2.
To find the speed of the car v after a time interval t = 3 s from the beginning of the movement, we use the definition of acceleration a = (v – v₀) / t, from which we obtain the formula: v = v₀ + a ∙ t. Substitute the values ​​of physical quantities into the calculation formula and perform the calculations:
v = 10 m / s – 0.6 m / s ^ 2 ∙ 3 ​​s;
v = 8.2 m / s.
Answer: the vehicle speed will become 8.2 m / s.



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