The movement of the body is described by the equation x = 3t + 20t ^ 2.

The movement of the body is described by the equation x = 3t + 20t ^ 2. Determine x0, the modulus of the initial velocity of the body, the modulus of acceleration.

The general view of the equation given to us looks like this: x = x0 + V0 * t + a * t ^ 2/2

From it we see that x0 = 0, V0 = 3.

To find the acceleration, let’s equate the parts where it is:

20 * t ^ 2 = a * t ^ 2/2. Reduce t ^ 2.

We get: 20 = a / 2 => a = 40.