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

Prove identity tan 3x−tan 2x−tanx = tan 3xtan 2xtanx
If 3x – 10 = 17, what is the value of 6x + 20 ?
The length of an arc of a circle is equal to 1/5 of the circumference of the circle. If the length of the arc is 2π, the radius of the circle is
Write good insulators around the home
The length of an arc of a circle is equal to 1/5 of the circumference of the circle. If the length of the arc is 2π, the radius of the circle is
The weekly sales of a magazine increased from 500,000 to 600,000. By what percentage did the magazine sales increase?
Which sign is the less sign and which one is the greater sign (can someone please tell me I really need help! and I never understand the signs!) is this greater
What are the three branches of government?
Why did the Chinese peasants rebel against the manchus from 1850 to 1864?
Rewrite the following linear equation in slope-intercept form. Write your answer with no spaces. y+2=4(x-3)