emir3092 emir3092
  • 01-07-2021
  • Mathematics
contestada

Two particles have positions at time t given by s1=4t-t^2 and s2=5t^2-t^3. Find the velocities

Respuesta :

Muscardinus Muscardinus
  • 06-07-2021

Step-by-step explanation:

Given that,

The positions of the first particle,[tex]s_1=4t-t^2[/tex]

Velocity,

[tex]v_1=\dfrac{ds_1}{dt}\\\\v_1=\dfrac{d(4t-t^2)}{dt}\\\\v_1=4-2t[/tex]

Position,

[tex]s_2=5t^2-t^3[/tex]

[tex]v_2=\dfrac{ds_2}{dt}\\\\v_2=\dfrac{d(5t^2-t^3)}{dt}\\\\v_2=10t-3t^2[/tex]

Hence, this is the required solution.

Answer Link

Otras preguntas

A current of 120 mA flows past a point in a circuit for 25 s. How much charge passes the point in this time? How many electrons pass the point in this time?
what percent of 64 is 8
What is the area of the rectangle? _________ un2
Which sentence is correct? My father wanted to know who’s dirty shoes were left on the new living room carpet. My father wanted to know whose dirty shoes were l
What was the precursor to the Baby Boom?
How were the actions taken by Presidents Ford and Carter to address the country’s economic downturn similar? How did they differ?
4n^2 -15n+9 factor completely
What is the reciprocal of 7/g
Carmen rolls a cube with sides labeled A, B, C, D, E, and F. What is the number of possible outcomes?
What did the term bread and circuses refer to during the time of the Roman emperors? A. religious holidays and parades for the religious groups in Rome B. jo