The bus moves to the right at a speed of 15m / s. At the moment of time t = 0 its coordinate was 100m.

The bus moves to the right at a speed of 15m / s. At the moment of time t = 0 its coordinate was 100m. Write the equations x (t). Find its coordinate in 25 s from the beginning of the movement. What was its coordinate …

The bus moves to the right at a speed of 15 m / s. At the time t = 0, its coordinate was 100 m. We need to compose the equations x (t) and find its coordinate in 25 s. from the beginning of the movement.

First, we need to remember the general form of the equation x (t):

x = x 0 + v * t.

We need to find x 0, find by supplying the formula t = 0 and x = 100:

100 = x 0 + v * 0;

x 0 = 100.

Using this, we compose the equations x (t):

x = 100 + 15 * t.

Now, let’s find x = 100 + 15 * t coordinate in 25 s. from the beginning of the movement, i.e. e. substituting instead of t = 25:

x = 100 + 15 * t = 100 + 15 * 25 = 100 + 375 = 475 m.

Answer: x = 100 + 15 * t and x = 475 m.