Question

""A track increases its velocity from 30 meters per second to 60 meters per second in 10 seconds. Calculate:

a) The acceleration of the track.
b) The displacement of the track in 4 seconds.""

Answer 1

The acceleration of the track is 3 m/s² and the displacement of the track in 4 seconds is 144 m.

Step-by-step explanation:

To calculate the acceleration of the track, we can use the formula:

Acceleration = Change in velocity / Time taken

Given that the track increases its velocity from 30 m/s to 60 m/s in 10 seconds:

Acceleration = (60 m/s - 30 m/s) / 10 s = 3 m/s²

To calculate the displacement of the track in 4 seconds, we can use the formula:

Displacement = Initial velocity * Time taken + 0.5 * Acceleration * (Time taken)^2

Given that the initial velocity is 30 m/s and the time taken is 4 seconds:

Displacement = 30 m/s * 4 s + 0.5 * 3 m/s² * (4 s)^2 = 120 m + 24 m = 144 m