For option (A) \( \phi = kt + C \) it can be 1D motion eg -> \( x = A \sin \phi \)
(SHM) For option (B) \( v^2 + x^2 = \) constant yes 1D
For option (C) time can't be negative Not possible
For option (D) Possible A, B and D only
The motion of an airplane is represented by the velocity-time graph as shown below. The distance covered by the airplane in the first 30.5 seconds is km.
Let \( T_r \) be the \( r^{\text{th}} \) term of an A.P. If for some \( m \), \( T_m = \dfrac{1}{25} \), \( T_{25} = \dfrac{1}{20} \), and \( \displaystyle\sum_{r=1}^{25} T_r = 13 \), then \( 5m \displaystyle\sum_{r=m}^{2m} T_r \) is equal to: