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The position of a 3.0 kg mass is given by x=(2t^3−3t^2) m, where t is in seconds.
What is the net horizontal force on the mass at t=0s?
What is the net horizontal force on the mass at t=1s?

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Ver imagen AbhiGhost
Ver imagen AbhiGhost

We have thathat is the net horizontal force on the mass at t=0s and  t=1s is

F=0N

F=0N respectively

From the question we are told

The position of a 3.0 kg mass is given by [tex]x=(2t^3−3t^2)[/tex] m, where t is in seconds.

What is the net horizontal force on the mass at t=0s?

What is the net horizontal force on the mass at t=1s?

Generally the equation for the position of the particle is  is mathematically given as

[tex]x=(2t^3−3t^2)[/tex]

Therefore

[tex]dx/dt=v\\\\dx/dt=6t^2-6t\\\\v=6t^2-6t[/tex]

Where

[tex]dv/dt=6t-6\\\\a=6t-6[/tex]

Where

[tex]F=ma\\\\at t=0\\\\F=6(0)-6*3\\\\F=0N[/tex]

[tex]at t=1\\\\F=6(1)-6*3\\\\F=18-18\\\\F=0[/tex]

For more information on this visit

https://brainly.com/question/23379286