brick weighting 27lbs is thrown downward at a of 2 ft/sec and has a wind resistance that is 3% of the instantaneous velocity. Show all work A.)Use ma = mq - kv^2 (Newtons 2nd Law) to create an equation that models the velocity (v(t)) of the brick after t seconds. B.) Use your equation to find the terminal velocity of the brick

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A: Given information: The kinematic equation that can be used to determine the acceleration of the…

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A: The given information are: When t=0, then v0=10 m/s and a=-0.05v2 . The information that needs to be…

Q: Using Newtons laws of motion we saw that while ignoring air resistance a body falling through the…

A: When air resistance is taken into account, the force due to air resistance is often modeled as being…

Q: 1.)  Let s(t)= tlnt-t be the displacement of a particle (in feet) from the origin after t seconds.…

A: Velocity and acceleration from displacement function

Q: A particle moves according to the equation s(t) = 4 8 t> 0. Find its acceleration at time t.

A: Given: st=4-8t2 , t>0.

Q: A mass weighting 64 lbs stretches a spring 3 inches. The mass is in a medium that exerts a damping…

A: Given that Weight =64 lbs damping force=252 lbs We have to find equation for object displacement…

Q: Mdzy d+² = Му-кан Determine the position. y of the object at time + if Y it is dropped from a…

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A:

Q: 1 mdv dt 10 dv dt = mg-bv; v(0) = v = (10) (9.81)-50 v

A: mdvdt=mg-bv, v0=v10dvdt=109.81-50v, v0=0

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.