Question

ng 20uu n object of mass 8 kg is given an initial downward velocity of 30 m/sec and then allowed to fall under the y. Assume the force in newtons due to air resistance is -8e, where v is the velocity of the o object in m/sec. Assume the obj ect is initially 800m above the ground. JAssume the gravitational force constant, with g-9.8m/sec?, sign of g depends on your setting] (a) Write a DE describing the motion.[Hint: See pages 40, 41, 110 and 111 in your book] (b) Determine the terminal velocity of the object. (c) Solve the IVP (d) Determine when the object will strike the ground. [Hint: After you obtain velocity set another IVP to obtain the position function

Answer 1

m obje ct mass 8kg is them cuoed tobau under eintuemce e an cciwen that mass ,m k aur resistanceこー8 \niti dt mgこ8ス9.8 become d t The ia actor is e dt etvj

appl the initia condition 0 39.8 -9.8+39.8e x9.3+39.3) C80 39.8 e° с 839.8

usin g ealculator bind the value t -3.084く