Question
A mass m is suspended from a spring of spring constant
k and oscillates with amplitude A. The maximum velocity during oscillation is:Solution
Rationale: The motion of a mass-spring system undergoing simple harmonic motion (SHM) is described by the equation x(t) = Acos ( ωt + φ),  where x(t) is the displacement from the equilibrium position, A is the amplitude, ω is the angular frequency, and ϕ is the phase constant. The velocity of the mass is the first derivative of the displacement with respect to time: 
The maximum value of the velocity occurs when ∣ sin(ωt + ϕ) ∣ is maximum, which is 1. Therefore, the magnitude of the maximum velocity (vmax​) is: 
Therefore, the correct answer is option (d).
58   83   133   ?    308    433
What will come in place of the question mark (?) in the following series?
112, 116, 121, ?, 134, 142
7    12    34    117    ?   2465   14820
...What will come in place of the question mark (?) in the following series?
206, 187, ?, 157, 146, 139
18, 21, 45, 138, 555, ?
What will come in place of the question mark (?) in the following series?
92, 153, 220, ?, 364, 443
32, 42, 62, 92, ?, 182
728, 737, ?, 778, 814, 863Â
150, 158, 131, 195, 70, ?Â
114, 146, 210, 306, 434, ?
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