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

how did western nations come to dominate much of the world in the late 1800s
1. to what does folly refer?
Ellie’s bird feeder is shaped like a cone with a height of 25 in. and a radius of 3 in. Packages of bird seed are cylindrical and come in different sizes. What
Jasmine is 8 years younger than twice her sisters age. If her sister is 22 how old is jasmine. I know the answer is 36, I don't know how to write the problem.
which gilded age president was known for his integrity
100/360 what is the angle in degrees
Javier bought a 20 ounce smoothie that contains 450 total calories. How many calories does the smoothie contain per ounce
Why did the US civil rights movement gain new momentum after World War II? President Truman desegregated the armed forces. Rosa Parks rallied blacks in Montgome
increase 12 1/2 cm by 25 mm
List 2 continents whose edges are not all plate boundaries