Question

What is the final velocity of a freight train that accelerates at a rate of 0.0500 m/s² for 8.00 min, starting with an initial velocity of 4.00 m/s?

a) 17.0 m/s
b) 22.0 m/s
c) 27.0 m/s
d) 32.0 m/s

Answer 1

The final velocity of the freight train is 28.0 m/s.

Step-by-step explanation:

To find the final velocity of the freight train, we can use the equation:

vf = vi + at

where:

• vf = final velocity
• vi = initial velocity
• a = acceleration
• t = time

Given that the initial velocity (vi) is 4.00 m/s, the acceleration (a) is 0.0500 m/s², and the time (t) is 8.00 min (which must be converted to seconds), we can plug in these values to find the final velocity (vf).

vf = 4.00 m/s + (0.0500 m/s²)(8.00 min)(60 s/min)

Calculating this expression gives us the final velocity of the freight train as 28.0 m/s.