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# Acceleration

DOI link for Acceleration

Acceleration book

# Acceleration

DOI link for Acceleration

Acceleration book

## ABSTRACT

Introduction to Acceleration Acceleration is the rate of change of velocity with time. The average acceleration, a, is given by:

a D change in velocity time taken

The usual units are metres per second squared (m/s2 or m s2). If u is the initial velocity of an object in metres per second, v is the ﬁnal velocity in metres per second and t is the time in seconds elapsing between the velocities of u and v, then:

average acceleration, a = v − u

t m=s2

Velocity/time Graph A graph of velocity (scale on the vertical axis) against time (scale on the horizontal axis) is called a velocity/time graph, as introduced in Chapter 7. For the velocity/time graph shown in Figure 8.1, the slope of line OA is given by (AX/OX). AX is the change in velocity from an initial velocity, u, of zero to a ﬁnal velocity, v, of 4 metres per second. OX is the time taken for this

AX OX D change in velocity

time taken D the acceleration in the ﬁrst two seconds

From the graph: AX OX D 4 m/s

2 s D 2 m/s2

i.e. the acceleration is 2 m/s2. Similarly, the slope of line AB in Figure 8.1 is given by BY/AY, i.e.