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  • For any arbitrary motion in space, which of the following relations are true: (a) v_average=1/2 [v (t_1) + [v (t_2)]

Q. 4.23  For any arbitrary motion in space, which of the following relations are true :

(a)  v_{average}=\left ( 1/2 \right )\left [ v\left ( t_{1} \right )+v\left ( t_{2} \right ) \right ]

(b)  v_{average}=\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 )+a\; t

(d)  v(t)=r\left ( 0 \right )+v\left ( 0 \right )t+\left ( 1/2 \right )a\; t^{2}

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

 

Answers (1)

best_answer

(a) False:-  Since it is arbitrary motion so the following relation cannot hold all the arbitrary relations.

(b) True:-   This is true as this relation relates displacement with time correctly.

(c) False: -  The given equation is valid only in case of uniform acceleration motion.

(d) False:-   The given equation is valid only in case of uniform acceleration motion. But this is arbitrary motion so acceleration can be no-uniform.

(e) True:- This is the universal relation between acceleration and velocity-time, as the definition of acceleration is given by this.

Posted by

Devendra Khairwa

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