Uniform and Non-Uniform Motion

We are given distance $d=240$ m and time $t=30$ s. We need to find speed.

The formula for speed is: $v=\frac{d}{t}$

$v=\frac{240}{30}=8\text{ m/s}$ The car's speed is 8 m/s.

We need to find speed using $v=\frac{d}{t}$ with $d=240$ m and $t=30$ s.

80 m/s would result from dividing incorrectly, e.g. $\frac{240}{3}$. This ignores the correct time value of 30 s.

0.125 m/s comes from inverting the formula: $\frac{30}{240}=0.125$. This is time divided by distance, not distance divided by time.

7200 m/s results from multiplying $240\times 30=7200$ instead of dividing. This is not how speed is calculated.

$v=\frac{240}{30}=8$ m/s. The correct answer is 8 m/s.

Speed is a scalar quantity — it has magnitude only. Velocity is a vector quantity — it has both magnitude and direction.

Speed $=\frac{\text{distance}}{\text{time}}$, while velocity $=\frac{\text{displacement}}{\text{time}}$. Displacement includes direction, so velocity also includes direction.

The correct statement is that velocity includes direction, speed does not.

We need to find the correct distinction between speed (scalar) and velocity (vector).

Speed includes direction, velocity does not is incorrect. Speed is a scalar — it has no direction. Velocity is the vector quantity that includes direction.

Velocity measures distance, speed measures displacement is incorrect. It's the other way around: velocity is based on displacement, speed is based on distance.

Speed and velocity are identical is incorrect. They are different quantities — in physics, using the wrong term can mean a very different physical situation.

Velocity includes direction, speed does not is the correct distinction between these two quantities.