Respuesta :

Answer:

35 m/s

Explanation:

Given that an automobile was moving at 15m/s and accelerated at 2m/s^2 for 10s. what is the final speed ?

The parameters given are :

initial velocity U = 15 m/s

Acceleration a = 2 m/s^2

Time taken = 10s

Using first equation of motion;

V = U + at

V = 15 + 2 * 10

V = 15 + 20

V = 35 m/s

Therefore, The final speed is 35 m/s

The final speed of automobile moving at the given initial speed and acceleration is 35m/s.

Given the data in the question;

  • Initial velocity of the automobile; [tex]u = 15m/s[/tex]
  • Acceleration of the automobile; [tex]a = 2m/s^2[/tex]
  • Time taken; [tex]t = 10s[/tex]

Final velocity of the automobile; [tex]v = ?[/tex]

To determine the final velocity of the automobile, we use the First Equation of Motion:

[tex]v = u + at[/tex]

Where v is final velocity, u is initial velocity, a is acceleration and t is time taken.

We substitute our given values into the equation

[tex]v = 15m/s + [ 2m/s^2 * 10s ]\\\\v = 15m/s + 20m/s\\\\v = 35m/s[/tex]

Therefore, the final speed of automobile moving at the given initial speed and acceleration is 35m/s.

Learn more on Equations of Motion here: https://brainly.com/question/20638167