1.

A train starts from rest to attain 20m/s in 5s. Calculate the acceleration of the train??

Answer»

Given:

  • A train starts from rest i.e. it had an INITIAL velocity of 0m/s.
  • It attains a velocity of 20m/s .
  • The time taken to achieve that velocity is 5 seconds .

To Find:

  • The acceleration of the train .

Answer:

Initial velocity = 0m/s (u).

Final velocity = 20m/s (v) .

Time taken = 5 seconds (t).

Now , acceleration is DEFINED as the RATE of change of velocity .

\large{\underline{\boxed{\red{\bf{\leadsto accel^{n}=\dfrac{v-u}{t}=\dfrac{\Delta v}{\Delta t}}}}}}

\sf{\implies accel^{n}= \dfrac{20m s^{-1}-0m s^{-1}}{5}}

\sf{\implies accel^{n}=\dfrac{20m s^{-1}}{5 s}}

\boxed{\bf{\leadsto accel^{n}=4 ms^{-2}}}

Hence the acceleration of the object was 4m/.



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