Asmall projectile is fired vertically downward into a fluid medium with an initial velocity of 60 m> s. due to the drag resistance of the fluid the projectile experiences a deceleration of a = (-0.4v3) m> s2, where v is in m> s. determine the projectile’s velocity and position 4 s after it is fired!

An object with initial temperature 130 ∘ f is submerged in large tank of water whose temperature is 50 ∘ f . find a formula for f ( t ) , the temperature of the object after t minutes, if the cooling constant is k = − 0.2 . remember newton's law of cooling (the rate of change of temperature with respect to time is equal to k times the difference between the temperature of the object and the surrounding temperature) ! : )