A competitive go-cart driver is traveling at a speed of 32m/s. He sees a caution flag go up and slows down at a rate of -1.5 m/s squared in 10.8 seconds. What is his final velocity?

Respuesta :

Answer:

His final velocity is 15.8 m/s.

Step-by-step explanation:

Given:

Initial velocity of the driver is, [tex]u=32[/tex] m/s

Acceleration of the driver is, [tex]a=-1.5[/tex] m/s²

Time taken to reach final velocity is, [tex]t=10.8[/tex] s.

The final velocity is given using the Newton's equations of motion as:

[tex]v=u+at[/tex], where, [tex]v[/tex] is the final velocity.

Now, plug in the given values and solve for [tex]v[/tex].

[tex]v=32-1.5(10.8)\\v=32-16.2=15.8\textrm{ m/s}[/tex]

Therefore, his final velocity is 15.8 m/s.