A train is moving at a constant velocity of "5 m/s". After it exists a tunnel, it starts to accelerate with an acceleration of "9 m/s"^2 for "5 s". What is the velocity of the train after "5 s" ?

1 Answer
Jun 14, 2017

50 "m/s"

Explanation:

We're asked to find the velocity of the train after 5 "s" with a given initial velocity and acceleration.

To solve this, we can use the equation

v_x = v_(0x) + a_xt

where

  • v_x is the velocity at time t (what we're trying to find)

  • v_(0x) is the initial velocity (5 "m/s")

  • a_x is the acceleration (9 "m/s"^2)

  • t is the time (5 "s")

Plugging in known values, we have

v_x = 5"m/s" + (9"m/s"^2)(5"s") = color(red)(50 color(red)("m/s"

The final velocity (the velocity at time t = 5 "s") is thus color(red)(50 meters per second.