A point moves with uniform acceleration and \nu_1, \nu_2 and \ell^{3} denote the average velocities in the three successive intervals of time \{\tau_1, \tau_2\} and \(\left[ ? \right]\) . Which of the following relations is correct
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Let \(\mathbf{U}_1, \mathbf{U}_2, \mathbf{U}_3\) and \Psi_4 be velocities at time \(\tau \quad 0, t_1, (t_1 + t_2)\) and \{t_1 + t_2 + t_3\} respectively and acceleration is a then \(v_1 - \frac{u_1 + u_2}{2}, v_2 - \frac{u_2 + u_3}{2} \text{ and } v_3 - \frac{u_3 + u_4}{2}\)
Also \(\mathbf{v}_2 \quad \mathbf{v}_1 + \alpha t_1, \quad \mathbf{v}_3 \quad \mathbf{v}_1 + \alpha (t \cdot + \epsilon_2)\)
and \(\mathbf{U}_4 \quad \mathbf{d}_1 + \alpha' \{ \mathbf{E}_1 + \mathbf{E}_2 + \mathbf{E}_3 \}\)
By solving, we get \(\frac{V_1 - V_2}{V_2 - V_3} = \frac{(t_1 + t_2)}{(t_2 + t_3)}\)
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