PLEASE PLEASE SHOW WORK WITH BOTH. Thanks so much. An object is released from re

Question

PLEASE PLEASE SHOW WORK WITH BOTH. Thanks so much.

An object is released from rest at time t = 0 and falls through the air, which exerts a resistive force such that the acceleration a of the object is given by a = g - bv, where v is the object's speed and b is a constant. If limiting cases for large and small values of t are considered, which of the following is a possible expression for the speed of the object as an explicit function of time? v = g(l - e-bt)/b v = (gebt)/b v = gt - bt2 v = (g + a)t/b v = V0 + gt, v0 0 An ideal massless spring is fixed to the wall at one end, as shown above. A block of mass M attached to the other end of the spring oscillates with amplitude A on a frictionless, horizontal surface. The maximum speed of the block is vm. The force constant of the spring is Mg/A Mgvm/2A /2A /A2 /2A2

Explanation / Answer

dv/dt=g-bv so v=(g-e^-bt)/b

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