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A train starts from rest and travels for 5.0 s with a uniform acceleration of 1.5 m/s2. What is the final velocity of the train?

Verified Answer :

Answer:

Final speed of the train is 7.5 m/s

Explanation:

It is given that,

Uniform acceleration of the train is, a = 1.5 m/s²

It starts from rest and travels for 5.0 s. We have to find the final velocity of the train. By using first equation of motion as :

\(v=u+at\)

Here, train starts from rest so, u = 0

\(v=0+1.5\ m/s^2\times 5\ s\)  

v = 7.5 m/s

So, the final velocity of the train is 7.5 m/s. Hence, this is the required solution.

Answer:

\(7.5m/s\)

Explanation:

We use the formula to find the final velocity for the movement with constant acceleration:

\(V_{f}=V_{i}+at\)

where

\(V_{f}\) is the final velocity of the train

\(V_{i}\) is the initial velocity of the train, since it starts from rest \(V_{i}=0\)

\(a\) is the acceleration, \(a=1.5m/s^2\)

and \(t\) is the interval of time,  \(t=5s\)

So, replacing the values in the formula we get:

\(V_{f}=0+(1.5m/s^2)(5s)\)

\(V_{f}=7.5m/s\)

The final velocity of the train is   \(7.5m/s\)