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Rzqust [24]
3 years ago
11

a rectilinear motion of a particle is defined by v3=x3. determine the velocity and acceleration at x=8m

Physics
1 answer:
Lyrx [107]3 years ago
7 0

Answer:

The velocity is 8 m/s and acceleration is 8 m/s^{2}

Explanation:

The motion of the particle is given by:

                                       v^{3}=x^{3\\}

                                  or, v= x .................................1

substitute x= 8m,

                                    v= 8 m/s

Now differentiate it with respect to time (t),

                         \frac{dv}{dt} = \frac{dx}{dt}

                   or,  \frac{dv}{dt} = v

                   ∴  \frac{dv}{dt} =  v

now substitute the value of v from equation 1,

                       \frac{dv}{dt} = x              

now at, x= 8

                        \frac{dv}{dt}  = 8

                     ∴ \frac{dv}{dt}  = 8 m/s^{2}

As

                        \frac{dv}{dt}  = acceleration

So the acceleration of the particle at x=8m is 8 m/s^{2} .

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Answer:

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Explanation:

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Let's solve it for v:

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I hope it helps you!

       

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3 years ago
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Answer:

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Explanation:

Hi there!

When the spring is stretched, it acquires potential energy. When released, the potential energy is converted into kinetic energy. If there is no friction nor any dissipative forces, all the potential energy will be converted into kinetic energy according to the energy conservation theorem.

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Answer:

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