Question

How far does an object move in one second of time if its initial velocity is zero and its acceleration is positive?

Answer 1

If an object's initial velocity is zero and its acceleration is positive, we can determine the distance it moves in one second of time using the kinematic equation:

$s=ut+\frac{1}{2}a{t}^2$

where:

• $s$ is the distance traveled,
• $u$ is the initial velocity,
• $a$ is the acceleration, and
• $t$ is the time.

Given that the initial velocity ($u$) is zero and the acceleration ($a$) is positive, the equation simplifies to:

$s=\frac{1}{2}a{t}^2$

Since we are interested in the distance traveled in one second, we substitute $t=1$ second into the equation:

$s=\frac{1}{2}a(1^2)$

The expression $1^2$ equals 1, so the equation further simplifies to:

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