The speed of the point changes according to the law: u = 4t + 8. What is the acceleration of the point?

u = 4 * t + 8 – the law according to which the speed of the point changes.

It is required to find a – acceleration.

First, let’s find the speed of the point in time t = 1 second:

u1 = 4 * 1 + 8 = 4 + 8 = 12 m / s.

Now let’s find the speed for time t = 2 seconds:

u2 = 4 * 2 + 8 = 8 + 8 = 16 m / s.

That is, in 1 second the speed changed from u1 to u2.

Let’s calculate the acceleration:

a = (V1 – V2) / t = (16 – 12) / 1 = 4/1 = 4 m / s ^ 2.

Correct answer: 4 m / s ^ 2.