Mathematics: The position of a particle moving along a straight line, in meters, is given by s= 6/t, where t represents time, in seconds. Calculate the average velocity of the particle, in meters per second, on the time interval [1,3]

The position of a particle moving along a straight

Ответ:

moraaa83egdjr

01.02.2022

The average velocity of the particle on the time interval is -2 meters per second.

Step-by-step explanation:

Let be s(t) the position curve which is continuous on the time interval [a,b] . The average velocity ( $\bar v$ ), measured in meters per second, on the time interval is represented by the following expression:

$\bar v = \frac{s(b) -s(a)}{b-a}$

Where:

, - Initial and final times, measured in seconds.

s(a) , s(b) - Initial and final positions, measured in meters.

If we know that $s(t) = \frac{6}{t}$ , $a = 1\,s$ and $b = 3\,s$ , the average velocity of the particle on the time interval is:

$s(a) = 6\,\frac{m}{s}$

$s(b) = 2\,\frac{m}{s}$

$\bar v = \frac{2\,\frac{m}{s}-6\,\frac{m}{s} }{3\,s-1\,s}$

$\bar v = -2\,\frac{m}{s}$

The average velocity of the particle on the time interval is -2 meters per second.

0,0(0 оценок)

The position of a particle moving along a straight line, in meters, is given by s= 6/t, where t represents time, in seconds. Calculate the average velocity of the particle, in meters per second, on the time interval [1,3]

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question