Question

2. train moves from rest to a speed of 25 m/s in 30.0 seconds. What is its acceleration?

Answer 1

Acceleration is defined as the time rate of change in velocity,.

So, a=(Vf-Vi) /t

Here, Vf=25,Vi=0,t=30

So,

a=(25-0)/30=5/6 metre per second square.

Answer 2

Concept:

The pace at which an object's direction is changing as seen from a particular point of view and as measured by a certain unit of time is referred to as its velocity when it is moving.

The rate at which the velocity of an object changes in relation to time is known as acceleration.

Equations of motion are used to describe how a physical system behaves in terms of how its motion changes over time.

The equations of motion are:

v = u +at

s = ut +(1/2)at²

v² - u² = 2as

Given:

The train in 30 seconds moves from rest to a speed of 25 m/s.

Find:

The acceleration of the train.

Solution:

The initial speed of the train, u = 0m/s

The speed of the train after t = 30 seconds is v = 25m/s

Using the equation of motion,

v = u + at

25 = 0 + a(30)

a = 0.83 m/s²

The acceleration of the train after 30 seconds is 0.83 m/s².

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