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 the initial velocity of an object is zero and its acceleration is positive, we can use the equations of motion to determine how far the object moves in one second.

The equation that relates displacement (distance traveled), initial velocity, acceleration, and time is:

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

Where:

• $s$ is the displacement (distance traveled)
• $u$ is the initial velocity
• $a$ is the acceleration
• $t$ is the time

Since the initial velocity is zero ($u=0$), the equation simplifies to:

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

Since we want to find the displacement in one second ($t=1$), we can substitute $t=1$ into the equation:

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

Simplifying further, we have:

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