the quantity speed is the ratio of_______and time
Answers
Answer:
velocity
Explanation:
Speed and velocity are related in much the same way that distance and displacement are related. Speed is a scalar and velocity is a vector. Speed gets the symbol v (italic) and velocity gets the symbol v (boldface). Average values get a bar over the symbol.
average
speed v = ∆s∆tinstantaneous
speed v = lim∆t→0∆s = ds∆tdtaverage
velocity v = ∆s∆tinstantaneous
velocity v = lim∆t→0∆s = ds∆tdt
Displacement is measured along the shortest path between two points and its magnitude is always less than or equal to the distance. The magnitude of displacement approaches distance as distance approaches zero. That is, distance and displacement are effectively the same (have the same magnitude) when the interval examined is "small". Since speed is based on distance and velocity is based on displacement, these two quantities are effectively the same (have the same magnitude) when the time interval is "small" or, in the language of calculus, the magnitude of an object's average velocity approaches its average speed as the time interval approaches zero.
∆t → 0 ⇒ v → |v|
The instantaneous speed of an object is then the magnitude of its instantaneous velocity.
v = |v|
Speed tells you how fast. Velocity tells you how fast and in what direction.
HOPE IT HELP YOU
Answer:
the quantity speed is the ratio of distance and time