In abave questions ` 13 and 14`, we have carefully distinguished between average speed and magnitude of average velocity. No such distainction is necessary when we considedr speed and magnitude of velocity. The instantneoud speed if alwary equal to the magnitude of nistantaneous velocity. Why ?

Explanation

Instantaneoud speed ` (v_(ins)` of the paticle at an instant is the firsta dericative of the distance with respect to time at theat instant of time i.e. ` v_(ins) = (dx)/(dt)` .
Since in instantaneous speed we taken taken only a small interval of time (dt) durig which direction of motion of a body is not supposed to change, hence there is no difference between total path length and magnitude of displacement fro small interval of time (dt) Hence, instantaneous speed is alwary equal to magnitued of instantaneous velocity.