Question

What is the equation for finding the acceleration of an object moving in a straight line?

Answer 1

Acceleration can be found using one of the following suvat equations:

$v=u+at\\s=ut+\frac{1}{2}at^2\\s=vt-\frac{1}{2}at^2\\v^2-u^2=2as$

Explanation:

The acceleration of an object is defined as the rate of change of velocity of the object:

$a=\frac{v-u}{t}$

where

v is the final velocity

u is the initial velocity

t is the time taken for the velocity to change from u to t

There are several equations used to find the acceleration of an object moving in a straight line (they are usually called suvat equation). Depending on which quantities are given in the problem, you can use one of the following equations:

$v=u+at\\s=ut+\frac{1}{2}at^2\\s=vt-\frac{1}{2}at^2\\v^2-u^2=2as$

where

$a$ is the acceleration

$s$ is the distance covered

$t$ is the time

$u$ is the initial velocity

$v$ is the final velocity

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