[2] Consider a projectile of mass m that is released from rest and allowed to fall under the influenceof gravity and a linear in velocity air resistive force, f= -bu.(a) Draw a free-body diagram for the mass.(b) Setup N2 for the mass and convert it to a first order differential equation for velocity. Solvethe differential equation.(c) Show that your result agrees with physical intuition for short times, i.e., for t small vy ≈ gt.(d) Use your general result for velocity as a function of time to solve for the position as a functionof time.(e) Again, show that your result for y(t)≈ 1/2gt²2 for short times.

We will answer the problem by solving Newton's equation of motion for the projectile. The steps are…

Answered: [2] Consider a projectile of mass m…

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