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?
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 \(7.5m/s\)