(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.

cor At time t=0, a particle is located at the point (1,9,3). It travels in a straight line to the point (8,6,5), has speed 5 at (1,9,3) and constant acceleration 7i-3j+2k. Find an equation for the position vector r(t) of the particle at time t ... The equation for the position vector r(t) of the particle at time t is r(t) = (i+Oj+ k (Type exact answers, using radicals as needed.) ing 2023) is based on Thomas' Calculus Early Transcendentals, 15e Clear all Check answer

I'm actually not sure how to solve this.

11 A ball was thrown uphill from the base of a hill inclined at 30° to the horizontal. The initial velocity was 15 m/s at 60° to the horizontal. a Show that the parabolic path of the ball has parametric equations and y = -5t2 + 15V31. X = part C only b Hence find the Cartesian equation of the path. * ci Find how far up the hill the ball landed (measuring along the slope), ii Find the time of flight.