Which of the given relations are true for any arbitrary motion in space?

(a) \(v_{average} = \left (d\frac{1}{2} \right )\left ( v\left ( t_{1} \right ) + v\left ( t_{2} \right ) \right )\)

(b) \(v_{average} = \dfrac{\left [ r\left ( t_{2} \right ) – r\left ( t_{1} \right )\right ]}{\left ( t_{2} – t_{1}\right )}\)

(c) \(v(t) = v\left ( 0 \right ) + at\)

(d) \(r(t) = r(0) + v(0)t + \left (\dfrac{1}{2} \right )at^{2}\)

(e) \(a_{average} = \dfrac{\left [ v\left ( t_{2} \right ) – v\left ( t_{1} \right )\right ]}{\left ( t_{2} – t_{1}\right )}\)

Asked by Abhisek | 1 year ago |  65

1 Answer

Solution :-

Right answer is (a) False

Explanation:-

It is given that the motion of the particle is arbitrary. Therefore, the average velocity of the particle cannot be given by this equation.

Right answer is (b) True

Explanation:-

The arbitrary motion of the particle can be represented by this equation.

Right answer is (c) False

Explanation:-

The motion of the particle is arbitrary. The acceleration of the particle may also be non-uniform. Hence, this equation cannot represent the motion of the particle in space.

Right answer is (d) False

Explanation:-

The motion of the particle is arbitrary; acceleration of the particle may also be non-uniform. Hence, this equation cannot represent the motion of a particle in space.

Right answer is (e) True

Explanation:-

The arbitrary motion of the particle can be represented by this equation.

Answered by Pragya Singh | 1 year ago

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