The car starts to brake at an initial speed of 20 m / s, what way will it go to a complete stop if the modulus

| June 17, 2021 | education

The car starts to brake at an initial speed of 20 m / s, what way will it go to a complete stop if the modulus of its acceleration is 2 m / s ^ 2?

The formula for calculating the distance traveled by an object with uniformly accelerated motion looks like this:

S = Vo * t + a * t ^ 2/2, where (1)

S – distance traveled, Vo – initial speed, a – acceleration, t – time.

According to the conditions of the problem, the car brakes, that is, the acceleration is directed in the direction opposite to the speed, we take it with a negative sign.

The time that the car spent on the way is the time during which its speed will become equal to zero, that is, it will stop: t = V / t = 20/2 = 10 s. After finding the time, using the formula (1), we find the path:

S = 20 * 10 – 2 * 10 * 10/2 = 100 m.

Answer: 100 meters.



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