From the starting point, the car accelerates with an acceleration of 4 m / s2 to a speed of 20 m / s.

From the starting point, the car accelerates with an acceleration of 4 m / s2 to a speed of 20 m / s. Find the acceleration length.

In order to find the acceleration length of the car, you must use the speed formula:

u = s / t,

where s is the distance,

t is time.

hence the path is:

s = ut.

Let’s substitute the formula for arithmetic speed and the formula for time in terms of acceleration into the equation.

We get the following equality:

s = (u1 + u2) / 2 * (u2 – u1) / a = (u2 ^ 2 – u12) / 2a.

We see that the initial velocity is zero, since the body starts moving from the start. therefore

s = u2 ^ 2 / 2a.

We substitute in the resulting formula for the path all known values for finding the distances and we get:

s = 20 ^ 2/2 * 4 = 400/8 = 50 m.

Answer: 50 m.