What is the modulus of movement of the car in 2 minutes, if during this time its speed has changed from 0 to 72 km / h?

What is the modulus of movement of the car in 2 minutes, if during this time its speed has changed from 0 to 72 km / h? What is the coordinate of the car at time t = 2 min? Consider the initial coordinate equal to zero.

Given:

v1 = 0 m / s – initial vehicle speed;

v2 = 72 km / h = 20 m / s – vehicle speed at time t;

t = 2 minutes = 120 seconds;

It is required to find S – the displacement modulus in time t and coordinate in time t.

First, let’s find the acceleration using the formula:

a = (v2 – v1) / t = (20 – 0) / 120 = 0.17 m / s ^ 2

Next, we find the movement module:

S = v1 * t + a * t ^ 2/2 = 0 * 120 + 0.17 * 120 * 120/2 = 1200 meters.

Since the speed increases over time (acceleration is positive) and the initial coordinate is equal to zero according to the conditions of the problem, then at time t the coordinate will be equal to 1200.