We consider only a vertical projectile motion against a quadratic drag force d= −c ∗ v ∗ v1 , where v1 is the velocity of the projectile, and v is its speed.

(a) calculate terminal velocity.

(b) obtain equation for a vertical position change.

Find the volume of the ellipsoid x^2+y^2+5z^2=36.

Find v(t), given acceleration a(t)=7j and initial velocity v(0)=k

In a simplified model of the human eye, the aqueous and vitreous humors and the lens all have a refractive index of 1.40, and all the refraction occurs at the cornea, whose vertex is 2.60 cm from the retina. what should be the radius of curvature of the cornea such that the image of an object 40.0 cm from the cornea’s vertex is focused on the retina?