(c) the horizontal. The stone moves in a vertical plane under gravity where the acceleration due to gravity is 10 ms. At time t seconds, the position vector A stone is projected from a point O with speed V ms at an angle 0 above of the stone relative to O is r(1)=(151)1+(201-512). (i) Find the Cartesian equation of the path of the stone. (ii) Find the speed of projection V ms of the stone. (iii) Find the time taken for the stone to reach its maximum height and the maximum height reached.

Q: (a) Find the parametric equation of the line that contains the two points A = (-4,0, –1) and B (3,…

A: (a) Here first we find vector v = AB = OB-OA, then the equation of line will be (x, y, z) = A + t v…

Q: Let u = (5V3, -5). (a) Graph u in the coordinate plane, with initial point (0, 0). y

A: Length and direction of vectors

Q: The vector parametric equation for the line through the points (-3, 5, −4) and (5, −5, 0) is L(t) =

A: The given points are -3, 5, -4 and 5, -5, 0. We have to find a parametric equation.

Q: (1) (a) Find all solutions of Ax = 0, where -(7) -3 5 A = -6 7 1 and write them in parametric vector…

A:

Q: Consider the function f(x, y) = (e* - 2x) sin(y). Suppose S is the surface z = f(x, y). (a) Find a…

A: