The car, having an initial speed V0, stopped in t-4 s after the start of braking with a constant modulus

| August 7, 2021 | education

The car, having an initial speed V0, stopped in t-4 s after the start of braking with a constant modulus of acceleration a -0.5 m / s. What distance did the car go during the braking time?

Let the car have an initial speed v₀. It stopped in t = 4 s after the start of braking with constant modulus of acceleration a = – 0.5 m / s ^ 2, that is, the final speed of the car v = 0 m / s.

To find what distance the car traveled during the braking time, you must first find its initial speed using the formula v = v₀ + a ∙ t.

Then v₀ = v – a ∙ t or v₀ = 0 – (- 0.5 m / s ^ 2) ∙ 4 s; v₀ = 2 m / s.

We will find the traversed path by the formula:

S = (v ^ 2 – v₀ ^ 2): (2 ∙ a) or

S = (0 ^ 2 – (2 m / s) ^ 2): (2 ∙ (- 0.5 m / s ^ 2)) = 4 m.

Answer: v₀ = 2 m / s; S = 4 m.



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