Question

1. which of the following is the correct mathematical definition for speed?( v=\frac{d}{delta t} )( vec{v}=\frac{vec{d}}{delta t} )( vec{v}=\frac{delta t}{vec{d}} )( v=\frac{vec{d}}{delta t} )

Explanation:

Step1: Recall the nature of speed

Speed is a scalar quantity (has magnitude only). Velocity is a vector quantity (has magnitude and direction). The symbol for speed is \(v\) (no arrow on top). The symbol for velocity is \(\vec{v}\) (arrow on top).

Step2: Recall the formula for speed

Speed \(v=\frac{d}{\Delta t}\), where \(d\) is the distance (a scalar, no arrow on top) and \(\Delta t\) is the time interval.

Answer:

\(v = \frac{d}{\Delta t}\) (the first option)